75307189772864 has 84 divisors (see below), whose sum is σ = 173986735795200. Its totient is φ = 32246467948800.

The previous prime is 75307189772821. The next prime is 75307189772879. The reversal of 75307189772864 is 46827798170357.

It is a happy number.

75307189772864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75307189772791 and 75307189772800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6822164 + ... + 14041235.

It is a 2-persistent number, because it is pandigital, and so is 2⋅75307189772864 = 150614379545728, but 3⋅75307189772864 = 225921569318592 is not.

Almost surely, 2^{75307189772864} is an apocalyptic number.

It is an amenable number.

75307189772864 is an abundant number, since it is smaller than the sum of its proper divisors (98679546022336).

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

75307189772864 is a wasteful number, since it uses less digits than its factorization.

75307189772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864576 (or 20864559 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 74.

The spelling of 75307189772864 in words is "seventy-five trillion, three hundred seven billion, one hundred eighty-nine million, seven hundred seventy-two thousand, eight hundred sixty-four".