31774637664 has 384 divisors, whose sum is σ = 116346101760. Its totient is φ = 8195904000.

The previous prime is 31774637651. The next prime is 31774637693. The reversal of 31774637664 is 46673647713.

31774637664 is a `hidden beast` number, since 3 + 177 + 46 + 376 + 64 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 31774637664.

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, 10044147 + ... + 10047309.

It is an arithmetic number, because the mean of its divisors is an integer number (302984640).

Almost surely, 2^31774637664 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 31774637664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58173050880).

31774637664 is an abundant number, since it is smaller than the sum of its proper divisors (84571464096).

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

31774637664 is a wasteful number, since it uses less digits than its factorization.

31774637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3337 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 31774637664 in words is "thirty-one billion, seven hundred seventy-four million, six hundred thirty-seven thousand, six hundred sixty-four".