32664763872 has 576 divisors, whose sum is σ = 109170996480. Its totient is φ = 9187540992.

The previous prime is 32664763861. The next prime is 32664763889. The reversal of 32664763872 is 27836746623.

32664763872 is a `hidden beast` number, since 32 + 66 + 476 + 3 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188813578 + ... + 188813750.

It is an arithmetic number, because the mean of its divisors is an integer number (189532980).

Almost surely, 2^32664763872 is an apocalyptic number.

32664763872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32664763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585498240).

32664763872 is an abundant number, since it is smaller than the sum of its proper divisors (76506232608).

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

32664763872 is a wasteful number, since it uses less digits than its factorization.

32664763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 32664763872 in words is "thirty-two billion, six hundred sixty-four million, seven hundred sixty-three thousand, eight hundred seventy-two".