668938788000 has 864 divisors, whose sum is σ = 2826211227840. Its totient is φ = 149327539200.

The previous prime is 668938787971. The next prime is 668938788047. The reversal of 668938788000 is 887839866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75847591 + ... + 75856409.

It is an arithmetic number, because the mean of its divisors is an integer number (3271077810).

Almost surely, 2^668938788000 is an apocalyptic number.

668938788000 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 668938788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413105613920).

668938788000 is an abundant number, since it is smaller than the sum of its proper divisors (2157272439840).

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

668938788000 is a wasteful number, since it uses less digits than its factorization.

668938788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 668938788000 in words is "six hundred sixty-eight billion, nine hundred thirty-eight million, seven hundred eighty-eight thousand".