32640901683984 has 480 divisors, whose sum is σ = 106632071110656. Its totient is φ = 9580873052160.

The previous prime is 32640901683979. The next prime is 32640901683989. The reversal of 32640901683984 is 48938610904623.

32640901683984 is a `hidden beast` number, since 32 + 6 + 409 + 0 + 168 + 39 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (32640901683979) and next prime (32640901683989).

It is a super-2 number, since 2×32640901683984² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32640901683989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194895609 + ... + 195063015.

Almost surely, 2^{32640901683984} 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 32640901683984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316035555328).

32640901683984 is an abundant number, since it is smaller than the sum of its proper divisors (73991169426672).

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

32640901683984 is a wasteful number, since it uses less digits than its factorization.

32640901683984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167585 (or 167567 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 32640901683984 in words is "thirty-two trillion, six hundred forty billion, nine hundred one million, six hundred eighty-three thousand, nine hundred eighty-four".