31630832640 has 1056 divisors, whose sum is σ = 129635036160. Its totient is φ = 7299072000.

The previous prime is 31630832617. The next prime is 31630832657. The reversal of 31630832640 is 4623803613.

31630832640 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 0 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31630832595 and 31630832604.

It is a congruent number.

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, 518538210 + ... + 518538270.

Almost surely, 2^31630832640 is an apocalyptic number.

31630832640 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 31630832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817518080).

31630832640 is an abundant number, since it is smaller than the sum of its proper divisors (98004203520).

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

31630832640 is a wasteful number, since it uses less digits than its factorization.

31630832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 31630832640 in words is "thirty-one billion, six hundred thirty million, eight hundred thirty-two thousand, six hundred forty".