72664430354064 has 30 divisors (see below), whose sum is σ = 203359482171846. Its totient is φ = 24221476784640.

The previous prime is 72664430354063. The next prime is 72664430354083. The reversal of 72664430354064 is 46045303446627.

72664430354064 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 4 + 4 + 30 + 3 + 540 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52781678010000 + 19882752344064 = 7265100^2 + 4459008^2 .

It is a super-2 number, since 2×72664430354064² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72664430354064.

It is not an unprimeable number, because it can be changed into a prime (72664430354063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252307049697 + ... + 252307049984.

Almost surely, 2^{72664430354064} is an apocalyptic number.

It is an amenable number.

72664430354064 is an abundant number, since it is smaller than the sum of its proper divisors (130695051817782).

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

72664430354064 is a wasteful number, since it uses less digits than its factorization.

72664430354064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504614099695 (or 504614099686 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 72664430354064 in words is "seventy-two trillion, six hundred sixty-four billion, four hundred thirty million, three hundred fifty-four thousand, sixty-four".