31977660905064 has 192 divisors, whose sum is σ = 101422055629440. Its totient is φ = 8911042744320.

The previous prime is 31977660905051. The next prime is 31977660905149. The reversal of 31977660905064 is 46050906677913.

31977660905064 is a `hidden beast` number, since 3 + 19 + 7 + 7 + 6 + 609 + 0 + 5 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 31977660904992 and 31977660905010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71418912 + ... + 71865264.

It is an arithmetic number, because the mean of its divisors is an integer number (528239873070).

Almost surely, 2^{31977660905064} 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 31977660905064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711027814720).

31977660905064 is an abundant number, since it is smaller than the sum of its proper divisors (69444394724376).

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

31977660905064 is a wasteful number, since it uses less digits than its factorization.

31977660905064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449880 (or 449873 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 31977660905064 in words is "thirty-one trillion, nine hundred seventy-seven billion, six hundred sixty million, nine hundred five thousand, sixty-four".