632968977576 has 256 divisors, whose sum is σ = 1775886336000. Its totient is φ = 186783252480.

The previous prime is 632968977551. The next prime is 632968977629. The reversal of 632968977576 is 675779869236.

632968977576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 632968977498 and 632968977507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123648345 + ... + 123653463.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056000).

Almost surely, 2^632968977576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632968977576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887943168000).

632968977576 is an abundant number, since it is smaller than the sum of its proper divisors (1142917358424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

632968977576 is a wasteful number, since it uses less digits than its factorization.

632968977576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5360 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 75.

The spelling of 632968977576 in words is "six hundred thirty-two billion, nine hundred sixty-eight million, nine hundred seventy-seven thousand, five hundred seventy-six".