631112327664 has 320 divisors, whose sum is σ = 2020118704128. Its totient is φ = 165331353600.

The previous prime is 631112327627. The next prime is 631112327717. The reversal of 631112327664 is 466723211136.

631112327664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529012252 + ... + 529013444.

Almost surely, 2^631112327664 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 631112327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010059352064).

631112327664 is an abundant number, since it is smaller than the sum of its proper divisors (1389006376464).

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

631112327664 is a wasteful number, since it uses less digits than its factorization.

631112327664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1930 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 631112327664 in words is "six hundred thirty-one billion, one hundred twelve million, three hundred twenty-seven thousand, six hundred sixty-four".