7668424332864 has 105 divisors (see below), whose sum is σ = 22732203067761. Its totient is φ = 2556074983680.

The previous prime is 7668424332841. The next prime is 7668424332871. The reversal of 7668424332864 is 4682334248667.

The square root of 7668424332864 is 2769192.

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

7668424332864 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 4 + 243 + 328 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1325279859264 + 6343144473600 = 1151208^2 + 2518560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 199362594 + ... + 199401054.

Almost surely, 2^{7668424332864} is an apocalyptic number.

7668424332864 is the 2769192-nd square number.

It is an amenable number.

7668424332864 is an abundant number, since it is smaller than the sum of its proper divisors (15063778734897).

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

7668424332864 is an frugal number, since it uses more digits than its factorization.

7668424332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76946 (or 38466 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 7668424332864 in words is "seven trillion, six hundred sixty-eight billion, four hundred twenty-four million, three hundred thirty-two thousand, eight hundred sixty-four".