631688320512 has 120 divisors (see below), whose sum is σ = 1824115310160. Its totient is φ = 210444963840.

The previous prime is 631688320493. The next prime is 631688320567. The reversal of 631688320512 is 215023886136.

631688320512 is a `hidden beast` number, since 6 + 31 + 6 + 8 + 83 + 20 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8399814 + ... + 8474682.

It is an arithmetic number, because the mean of its divisors is an integer number (15200960918).

Almost surely, 2^631688320512 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 631688320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912057655080).

631688320512 is an abundant number, since it is smaller than the sum of its proper divisors (1192426989648).

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

631688320512 is a wasteful number, since it uses less digits than its factorization.

631688320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76724 (or 76705 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 631688320512 in words is "six hundred thirty-one billion, six hundred eighty-eight million, three hundred twenty thousand, five hundred twelve".