688757112032 has 96 divisors (see below), whose sum is σ = 1537961209344. Its totient is φ = 300876364800.

The previous prime is 688757112011. The next prime is 688757112079. The reversal of 688757112032 is 230211757886.

688757112032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610793 + ... + 1323095.

It is an arithmetic number, because the mean of its divisors is an integer number (16020429264).

Almost surely, 2^688757112032 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 688757112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768980604672).

688757112032 is an abundant number, since it is smaller than the sum of its proper divisors (849204097312).

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

688757112032 is a wasteful number, since it uses less digits than its factorization.

688757112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712432 (or 712424 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 688757112032 in words is "six hundred eighty-eight billion, seven hundred fifty-seven million, one hundred twelve thousand, thirty-two".