8662566216960 has 108 divisors (see below), whose sum is σ = 29971576799892. Its totient is φ = 2310017654784.

The previous prime is 8662566216937. The next prime is 8662566216961. The reversal of 8662566216960 is 696126652668.

8662566216960 is a `hidden beast` number, since 8 + 6 + 6 + 2 + 566 + 2 + 1 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6323575267584 + 2338990949376 = 2514672^2 + 1529376^2 .

It is a hoax number, since the sum of its digits (63) 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 (8662566216961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375967917 + ... + 375990956.

It is an arithmetic number, because the mean of its divisors is an integer number (277514599999).

Almost surely, 2^{8662566216960} is an apocalyptic number.

8662566216960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8662566216960 is an abundant number, since it is smaller than the sum of its proper divisors (21309010582932).

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

8662566216960 is a wasteful number, since it uses less digits than its factorization.

8662566216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751958900 (or 751958883 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 8662566216960 in words is "eight trillion, six hundred sixty-two billion, five hundred sixty-six million, two hundred sixteen thousand, nine hundred sixty".