655879173264 has 960 divisors, whose sum is σ = 2327717683200. Its totient is φ = 174854744064.

The previous prime is 655879173259. The next prime is 655879173289. The reversal of 655879173264 is 462371978556.

655879173264 is a `hidden beast` number, since 6 + 5 + 587 + 9 + 17 + 32 + 6 + 4 = 666.

It is a super-3 number, since 3×655879173264³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4177574274 + ... + 4177574430.

It is an arithmetic number, because the mean of its divisors is an integer number (2424705920).

Almost surely, 2^655879173264 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 655879173264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163858841600).

655879173264 is an abundant number, since it is smaller than the sum of its proper divisors (1671838509936).

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

655879173264 is a wasteful number, since it uses less digits than its factorization.

655879173264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 655879173264 in words is "six hundred fifty-five billion, eight hundred seventy-nine million, one hundred seventy-three thousand, two hundred sixty-four".