64640056329216 has 297 divisors, whose sum is σ = 188968294250983. Its totient is φ = 21281947484160.

The previous prime is 64640056329209. The next prime is 64640056329229. The reversal of 64640056329216 is 61292365004646.

The square root of 64640056329216 is 8039904.

It is a perfect power (a square), and thus also a powerful number.

64640056329216 is a `hidden beast` number, since 6 + 4 + 6 + 40 + 0 + 563 + 29 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2822722569216 + 61817333760000 = 1680096^2 + 7862400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68692939306 + ... + 68692940246.

Almost surely, 2^{64640056329216} is an apocalyptic number.

64640056329216 is the 8039904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64640056329216

64640056329216 is an abundant number, since it is smaller than the sum of its proper divisors (124328237921767).

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

64640056329216 is an frugal number, since it uses more digits than its factorization.

64640056329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 64640056329216 in words is "sixty-four trillion, six hundred forty billion, fifty-six million, three hundred twenty-nine thousand, two hundred sixteen".