31639456806768 has 640 divisors, whose sum is σ = 99595545477120. Its totient is φ = 9586684800000.

The previous prime is 31639456806719. The next prime is 31639456806781. The reversal of 31639456806768 is 86760865493613.

31639456806768 is a `hidden beast` number, since 3 + 1 + 6 + 39 + 456 + 80 + 6 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 31639456806696 and 31639456806705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5751580018 + ... + 5751585518.

It is an arithmetic number, because the mean of its divisors is an integer number (155618039808).

Almost surely, 2^{31639456806768} 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 31639456806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49797772738560).

31639456806768 is an abundant number, since it is smaller than the sum of its proper divisors (67956088670352).

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

31639456806768 is a wasteful number, since it uses less digits than its factorization.

31639456806768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 31639456806768 in words is "thirty-one trillion, six hundred thirty-nine billion, four hundred fifty-six million, eight hundred six thousand, seven hundred sixty-eight".