Quite a good implementation, got to 62 and was playing a "space filling curve" strategy to bleed off some of the length. Looking at the leader-board I suspect some people are just sending off their own custom submissions [1].
There is a maximum theoretical length and the sphere actually allows you to wrap around it, Rod of Asclepius style, until you get there - picking up an apple on each cycle. I suspect it's not more than a few hundred segments though so those ~600 submissions are probably someone gaming the submission with a forged score.
[1] https://kevinalbs.com/spherical_snake/leaderboard/