668008828872 has 256 divisors, whose sum is σ = 2317030963200. Its totient is φ = 173240259840.

The previous prime is 668008828843. The next prime is 668008828873. The reversal of 668008828872 is 278828800866.

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

It is not an unprimeable number, because it can be changed into a prime (668008828873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10829943 + ... + 10891449.

It is an arithmetic number, because the mean of its divisors is an integer number (9050902200).

Almost surely, 2^668008828872 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 668008828872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158515481600).

668008828872 is an abundant number, since it is smaller than the sum of its proper divisors (1649022134328).

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

668008828872 is a wasteful number, since it uses less digits than its factorization.

668008828872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62193 (or 62183 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 668008828872 in words is "six hundred sixty-eight billion, eight million, eight hundred twenty-eight thousand, eight hundred seventy-two".