31877201664 has 864 divisors, whose sum is σ = 123719232000. Its totient is φ = 7803371520.

The previous prime is 31877201663. The next prime is 31877201677. The reversal of 31877201664 is 46610277813.

31877201664 is a `hidden beast` number, since 318 + 77 + 201 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31877201663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165166752 + ... + 165166944.

Almost surely, 2^31877201664 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 31877201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859616000).

31877201664 is an abundant number, since it is smaller than the sum of its proper divisors (91842030336).

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

31877201664 is a wasteful number, since it uses less digits than its factorization.

31877201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 31877201664 in words is "thirty-one billion, eight hundred seventy-seven million, two hundred one thousand, six hundred sixty-four".