687651232968 has 192 divisors, whose sum is σ = 2231974080000. Its totient is φ = 195590070144.

The previous prime is 687651232889. The next prime is 687651232979. The reversal of 687651232968 is 869232156786.

It is a happy number.

687651232968 is a `hidden beast` number, since 6 + 87 + 6 + 512 + 32 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×687651232968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2214558 + ... + 2505906.

It is an arithmetic number, because the mean of its divisors is an integer number (11624865000).

Almost surely, 2^687651232968 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 687651232968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115987040000).

687651232968 is an abundant number, since it is smaller than the sum of its proper divisors (1544322847032).

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

687651232968 is a wasteful number, since it uses less digits than its factorization.

687651232968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291601 (or 291584 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 687651232968 in words is "six hundred eighty-seven billion, six hundred fifty-one million, two hundred thirty-two thousand, nine hundred sixty-eight".