668015176920 has 256 divisors, whose sum is σ = 2468527488000. Its totient is φ = 140829014016.

The previous prime is 668015176903. The next prime is 668015176943. The reversal of 668015176920 is 29671510866.

668015176920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13723986 + ... + 13772574.

It is an arithmetic number, because the mean of its divisors is an integer number (9642685500).

Almost surely, 2^668015176920 is an apocalyptic number.

668015176920 is a gapful number since it is divisible by the number (60) 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 668015176920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234263744000).

668015176920 is an abundant number, since it is smaller than the sum of its proper divisors (1800512311080).

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

668015176920 is a wasteful number, since it uses less digits than its factorization.

668015176920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49882 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 668015176920 in words is "six hundred sixty-eight billion, fifteen million, one hundred seventy-six thousand, nine hundred twenty".