8660457792 has 672 divisors, whose sum is σ = 31952793600. Its totient is φ = 2270840832.

The previous prime is 8660457763. The next prime is 8660457803. The reversal of 8660457792 is 2977540668.

8660457792 is a `hidden beast` number, since 8 + 6 + 60 + 4 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109626009 + ... + 109626087.

It is an arithmetic number, because the mean of its divisors is an integer number (47548800).

Almost surely, 2^8660457792 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 8660457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976396800).

8660457792 is an abundant number, since it is smaller than the sum of its proper divisors (23292335808).

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

8660457792 is a wasteful number, since it uses less digits than its factorization.

8660457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 8660457792 is about 93061.5806442164. The cubic root of 8660457792 is about 2053.5894118507.

It can be divided in two parts, 8660457 and 792, that added together give a square (8661249 = 2943²).

The spelling of 8660457792 in words is "eight billion, six hundred sixty million, four hundred fifty-seven thousand, seven hundred ninety-two".