66072564162 has 64 divisors (see below), whose sum is σ = 163198177920. Its totient is φ = 19644206400.

The previous prime is 66072564161. The next prime is 66072564167. The reversal of 66072564162 is 26146527066.

66072564162 is a `hidden beast` number, since 6 + 6 + 0 + 72 + 564 + 16 + 2 = 666.

66072564162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66072564161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017889 + ... + 1080852.

It is an arithmetic number, because the mean of its divisors is an integer number (2549971530).

Almost surely, 2^66072564162 is an apocalyptic number.

66072564162 is an abundant number, since it is smaller than the sum of its proper divisors (97125613758).

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

66072564162 is a wasteful number, since it uses less digits than its factorization.

66072564162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098816 (or 2098810 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 6607256 and 4162, that multiplied together give a palindrome (27499399472).

The spelling of 66072564162 in words is "sixty-six billion, seventy-two million, five hundred sixty-four thousand, one hundred sixty-two".