668918332339200 has 792 divisors, whose sum is σ = 2473109133037760. Its totient is φ = 177176988057600.

The previous prime is 668918332339109. The next prime is 668918332339289. The reversal of 668918332339200 is 2933233819866.

668918332339200 is a `hidden beast` number, since 6 + 6 + 8 + 91 + 8 + 3 + 3 + 2 + 339 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15345309405 + ... + 15345352995.

Almost surely, 2^{668918332339200} is an apocalyptic number.

668918332339200 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 668918332339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236554566518880).

668918332339200 is an abundant number, since it is smaller than the sum of its proper divisors (1804190800698560).

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

668918332339200 is a wasteful number, since it uses less digits than its factorization.

668918332339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43928 (or 43750 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 668918332339200 in words is "six hundred sixty-eight trillion, nine hundred eighteen billion, three hundred thirty-two million, three hundred thirty-nine thousand, two hundred".