31697976960 has 768 divisors, whose sum is σ = 128374515360. Its totient is φ = 7134511104.

The previous prime is 31697976941. The next prime is 31697976979. The reversal of 31697976960 is 6967979613.

It is an interprime number because it is at equal distance from previous prime (31697976941) and next prime (31697976979).

It can be written as a sum of positive squares in 16 ways, for example, as 5118543936 + 26579433024 = 71544^2 + 163032^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47099184 + ... + 47099856.

Almost surely, 2^31697976960 is an apocalyptic number.

31697976960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31697976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64187257680).

31697976960 is an abundant number, since it is smaller than the sum of its proper divisors (96676538400).

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

31697976960 is a wasteful number, since it uses less digits than its factorization.

31697976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 31697976960 in words is "thirty-one billion, six hundred ninety-seven million, nine hundred seventy-six thousand, nine hundred sixty".