8640025329664 has 57 divisors (see below), whose sum is σ = 17283028156201. Its totient is φ = 4319260180480.

The previous prime is 8640025329601. The next prime is 8640025329673. The reversal of 8640025329664 is 4669235200468.

The square root of 8640025329664 is 2939392.

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

It can be written as a sum of positive squares in only one way, i.e., 4318948491264 + 4321076838400 = 2078208^2 + 2078720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1504965834 + ... + 1504971574.

Almost surely, 2^{8640025329664} is an apocalyptic number.

8640025329664 is the 2939392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640025329664

8640025329664 is an abundant number, since it is smaller than the sum of its proper divisors (8643002826537).

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

8640025329664 is an frugal number, since it uses more digits than its factorization.

8640025329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 8640025329664 in words is "eight trillion, six hundred forty billion, twenty-five million, three hundred twenty-nine thousand, six hundred sixty-four".