264516066072 has 128 divisors (see below), whose sum is σ = 747404395200. Its totient is φ = 86657817600.

The previous prime is 264516066071. The next prime is 264516066083. The reversal of 264516066072 is 270660615462.

264516066072 is a `hidden beast` number, since 2 + 6 + 4 + 516 + 0 + 6 + 60 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264516066071) 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, 18188788 + ... + 18203324.

Almost surely, 2^264516066072 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 264516066072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373702197600).

264516066072 is an abundant number, since it is smaller than the sum of its proper divisors (482888329128).

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

264516066072 is a wasteful number, since it uses less digits than its factorization.

264516066072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994 (or 15984 counting only the distinct ones).

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

The spelling of 264516066072 in words is "two hundred sixty-four billion, five hundred sixteen million, sixty-six thousand, seventy-two".