664504882058160 has 2560 divisors, whose sum is σ = 2810552513126400. Its totient is φ = 142997557248000.

The previous prime is 664504882058137. The next prime is 664504882058203. The reversal of 664504882058160 is 61850288405466.

664504882058160 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 0 + 48 + 8 + 2 + 0 + 581 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 151956293734 + ... + 151956298106.

It is an arithmetic number, because the mean of its divisors is an integer number (1097872075440).

Almost surely, 2^{664504882058160} is an apocalyptic number.

664504882058160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664504882058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405276256563200).

664504882058160 is an abundant number, since it is smaller than the sum of its proper divisors (2146047631068240).

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

664504882058160 is a wasteful number, since it uses less digits than its factorization.

664504882058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 664504882058160 in words is "six hundred sixty-four trillion, five hundred four billion, eight hundred eighty-two million, fifty-eight thousand, one hundred sixty".