31075627968 has 560 divisors, whose sum is σ = 115941433344. Its totient is φ = 7994972160.

The previous prime is 31075627963. The next prime is 31075627987. The reversal of 31075627968 is 86972657013.

31075627968 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 5 + 627 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31075627963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50694030 + ... + 50694642.

Almost surely, 2^31075627968 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 31075627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970716672).

31075627968 is an abundant number, since it is smaller than the sum of its proper divisors (84865805376).

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

31075627968 is a wasteful number, since it uses less digits than its factorization.

31075627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

It can be divided in two parts, 310756 and 27968, that added together give a square (338724 = 582²).

The spelling of 31075627968 in words is "thirty-one billion, seventy-five million, six hundred twenty-seven thousand, nine hundred sixty-eight".