688797646768 has 240 divisors, whose sum is σ = 1808494248960. Its totient is φ = 250747660800.

The previous prime is 688797646753. The next prime is 688797646777. The reversal of 688797646768 is 867646797886.

It is a junction number, because it is equal to n+sod(n) for n = 688797646691 and 688797646700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7708555 + ... + 7797397.

It is an arithmetic number, because the mean of its divisors is an integer number (7535392704).

Almost surely, 2^688797646768 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 688797646768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904247124480).

688797646768 is an abundant number, since it is smaller than the sum of its proper divisors (1119696602192).

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

688797646768 is a wasteful number, since it uses less digits than its factorization.

688797646768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88936 (or 88923 counting only the distinct ones).

The product of its digits is 8193540096, while the sum is 82.

The spelling of 688797646768 in words is "six hundred eighty-eight billion, seven hundred ninety-seven million, six hundred forty-six thousand, seven hundred sixty-eight".