32975384352768 has 1512 divisors, whose sum is σ = 117858743517060. Its totient is φ = 9139260948480.

The previous prime is 32975384352721. The next prime is 32975384352793. The reversal of 32975384352768 is 86725348357923.

32975384352768 is a `hidden beast` number, since 3 + 2 + 9 + 7 + 5 + 38 + 4 + 3 + 527 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32975384352696 and 32975384352705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 302526461898 + ... + 302526462006.

Almost surely, 2^{32975384352768} 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 32975384352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58929371758530).

32975384352768 is an abundant number, since it is smaller than the sum of its proper divisors (84883359164292).

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

32975384352768 is an equidigital number, since it uses as much as digits as its factorization.

32975384352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 138 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 32975384352768 in words is "thirty-two trillion, nine hundred seventy-five billion, three hundred eighty-four million, three hundred fifty-two thousand, seven hundred sixty-eight".