668159960832 has 1440 divisors, whose sum is σ = 2629032044800. Its totient is φ = 165919186944.

The previous prime is 668159960807. The next prime is 668159960873. The reversal of 668159960832 is 238069951866.

668159960832 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 599 + 6 + 0 + 8 + 32 = 666.

668159960832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 668159960832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4099140783 + ... + 4099140945.

Almost surely, 2^668159960832 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 668159960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314516022400).

668159960832 is an abundant number, since it is smaller than the sum of its proper divisors (1960872083968).

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

668159960832 is a wasteful number, since it uses less digits than its factorization.

668159960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 668159960832 in words is "six hundred sixty-eight billion, one hundred fifty-nine million, nine hundred sixty thousand, eight hundred thirty-two".