8655564960 has 768 divisors, whose sum is σ = 37231488000. Its totient is φ = 1833172992.

The previous prime is 8655564947. The next prime is 8655564961. The reversal of 8655564960 is 694655568.

8655564960 is a `hidden beast` number, since 86 + 5 + 556 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8655564897 and 8655564906.

It is not an unprimeable number, because it can be changed into a prime (8655564961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58090966 + ... + 58091114.

It is an arithmetic number, because the mean of its divisors is an integer number (48478500).

Almost surely, 2^8655564960 is an apocalyptic number.

8655564960 is a gapful number since it is divisible by the number (80) 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 8655564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744000).

8655564960 is an abundant number, since it is smaller than the sum of its proper divisors (28575923040).

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

8655564960 is a wasteful number, since it uses less digits than its factorization.

8655564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 8655564960 is about 93035.2887887172. The cubic root of 8655564960 is about 2053.2026054776.

The spelling of 8655564960 in words is "eight billion, six hundred fifty-five million, five hundred sixty-four thousand, nine hundred sixty".