0707 GMT April 08, 2020
Nadal needed all his trademark grit against Zverev, 19, dubbed "the future of tennis", and his superior fitness told as he ground out a thrilling 4-6, 6-3, 6-7 (5/7), 6-3, 6-2 win, AFP reported.
Germany's Zverev looked in discomfort as he won a punishing 37-shot rally nearly four hours into their contest as Nadal, still full of running, pressed his advantage in the final set.
It means Nadal, 30, follows fellow veteran Roger Federer into the last 16 of a contest now missing defending champion Novak Djokovic after his stunning defeat to Denis Istomin.
"Everybody knows how good Alexander is," said Nadal, who will play France's Gael Monfils in the fourth round. "He's the future of our sport, and the present."
Williams, by contrast, had no such trouble as she brushed off fellow American Nicole Gibbs 6-1, 6-3 to maintain her charge towards a 23rd Grand Slam title.
Williams, back after an injury break at the end of 2016, has been in brilliant form and she will take some stopping as she zeroes in on Steffi Graf's Open-era record.
The next player to take on Williams will be Barbora Strycova, who ousted France's Caroline Garcia to earn a shot at the world number two.
'Fight until midnight'
"Obviously I'm here for one reason," said Williams, who again lifted her index finger in celebration at her victory, symbolizing the number one.
"But at the end of the day, this is all bonus for me and I look forward to playing (Strycova). I'm ready for her."
Elsewhere 117th-ranked Istomin built on his win over Djokovic by beating Pablo Carreno Busta 6-4, 4-6, 6-4, 4-6, 6-2 to reach the last 16 for the first time.
David Goffin halted towering Croatian Ivo Karlovic, who won a tournament-record 84-game match in the first round, to set up a clash against Austrian eighth seed Dominic Thiem.
"I was ready to fight until midnight if I had to," grinned the Belgian.
Roberto Bautista Agut ousted fellow Spaniard David Ferrer 7-5, 6-7 (6/8), 7-6 (7/3), 6-4 and will next play third seed Milos Raonic, who beat Gilles Simon 6-2, 7-6 (7/5), 3-6, 6-3.
In the women's draw, Britain's Johanna Konta maintained her sizzling form with a dominant 6-3, 6-1 victory over former world number one Caroline Wozniacki.
"Against someone like Caroline, she's not going to give it to you. You really do have to earn it and win it till the very last point. I'm just very happy I was able to keep that pressure on," said the ninth seed.
Konta's prize is a round-of-16 rematch with Russia's Ekaterina Makarova, whom she edged at the same stage last year, going 8-6 in the final set.
Makarova, seeded 30, beat sixth seed Dominika Cibulkova in a three set marathon.
Mirjana Lucic-Baroni, who has not won an Australian Open match since 1998 before this year, extended her fairytale run by beating Greece's Maria Sakkari 3-6, 6-2, 6-3.
Next up for the 34-year-old Croatian, who put her career on hold to flee her abusive father, is American qualifier Jennifer Brady, who upset 14th seed Elena Vesnina.