31799496960 has 648 divisors, whose sum is σ = 138253053120. Its totient is φ = 6605660160.

The previous prime is 31799496893. The next prime is 31799496979. The reversal of 31799496960 is 6969499713.

It is a super-2 number, since 2×31799496960² (a number of 22 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 71 ways as a sum of consecutive naturals, for example, 9755811 + ... + 9759069.

Almost surely, 2^31799496960 is an apocalyptic number.

31799496960 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 31799496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69126526560).

31799496960 is an abundant number, since it is smaller than the sum of its proper divisors (106453556160).

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

31799496960 is a wasteful number, since it uses less digits than its factorization.

31799496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 31799496960 in words is "thirty-one billion, seven hundred ninety-nine million, four hundred ninety-six thousand, nine hundred sixty".