32750864784 has 225 divisors, whose sum is σ = 104419704081. Its totient is φ = 9902787840.

The previous prime is 32750864719. The next prime is 32750864801. The reversal of 32750864784 is 48746805723.

The square root of 32750864784 is 180972.

It is a perfect power (a square), and thus also a powerful number.

32750864784 is a `hidden beast` number, since 3 + 2 + 7 + 508 + 64 + 78 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28324890000 + 4425974784 = 168300^2 + 66528^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 32750864784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71664684 + ... + 71665140.

Almost surely, 2^32750864784 is an apocalyptic number.

32750864784 is the 180972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32750864784

32750864784 is an abundant number, since it is smaller than the sum of its proper divisors (71668839297).

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

32750864784 is an equidigital number, since it uses as much as digits as its factorization.

32750864784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 32750864784 in words is "thirty-two billion, seven hundred fifty million, eight hundred sixty-four thousand, seven hundred eighty-four".