31507408768 has 96 divisors (see below), whose sum is σ = 72625581000. Its totient is φ = 13567656960.

The previous prime is 31507408763. The next prime is 31507408769. The reversal of 31507408768 is 86780470513.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31507408763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240738 + ... + 347806.

Almost surely, 2^31507408768 is an apocalyptic number.

31507408768 is a gapful number since it is divisible by the number (38) 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 31507408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312790500).

31507408768 is an abundant number, since it is smaller than the sum of its proper divisors (41118172232).

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

31507408768 is a wasteful number, since it uses less digits than its factorization.

31507408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107124 (or 107101 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 31507408768 in words is "thirty-one billion, five hundred seven million, four hundred eight thousand, seven hundred sixty-eight".