8655679872 has 384 divisors, whose sum is σ = 30139776000. Its totient is φ = 2437972992.

The previous prime is 8655679871. The next prime is 8655679913. The reversal of 8655679872 is 2789765568.

8655679872 is a `hidden beast` number, since 8 + 6 + 556 + 7 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8655679871) 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 47 ways as a sum of consecutive naturals, for example, 13377853 + ... + 13378499.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^8655679872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8655679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069888000).

8655679872 is an abundant number, since it is smaller than the sum of its proper divisors (21484096128).

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

8655679872 is a wasteful number, since it uses less digits than its factorization.

8655679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 738 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The square root of 8655679872 is about 93035.9063587817. The cubic root of 8655679872 is about 2053.2116916002.

The spelling of 8655679872 in words is "eight billion, six hundred fifty-five million, six hundred seventy-nine thousand, eight hundred seventy-two".