668879199360 has 512 divisors, whose sum is σ = 2476097164800. Its totient is φ = 170326278144.

The previous prime is 668879199319. The next prime is 668879199427. The reversal of 668879199360 is 63991978866.

668879199360 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 79 + 199 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 339015334 + ... + 339017306.

It is an arithmetic number, because the mean of its divisors is an integer number (4836127275).

Almost surely, 2^668879199360 is an apocalyptic number.

668879199360 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 668879199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238048582400).

668879199360 is an abundant number, since it is smaller than the sum of its proper divisors (1807217965440).

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

668879199360 is a wasteful number, since it uses less digits than its factorization.

668879199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 668879199360 in words is "six hundred sixty-eight billion, eight hundred seventy-nine million, one hundred ninety-nine thousand, three hundred sixty".