31989924864 has 440 divisors, whose sum is σ = 102720752640. Its totient is φ = 9885597696.

The previous prime is 31989924859. The next prime is 31989924881. The reversal of 31989924864 is 46842998913.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83524417 + ... + 83524799.

It is an arithmetic number, because the mean of its divisors is an integer number (233456256).

Almost surely, 2^31989924864 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 31989924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51360376320).

31989924864 is an abundant number, since it is smaller than the sum of its proper divisors (70730827776).

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

31989924864 is a wasteful number, since it uses less digits than its factorization.

31989924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 460 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 31989924864 in words is "thirty-one billion, nine hundred eighty-nine million, nine hundred twenty-four thousand, eight hundred sixty-four".