668460460800 has 216 divisors, whose sum is σ = 2406610342080. Its totient is φ = 162050969600.

The previous prime is 668460460799. The next prime is 668460460841. The reversal of 668460460800 is 8064064866.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 668460460800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371330 + ... + 1793729.

Almost surely, 2^668460460800 is an apocalyptic number.

668460460800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668460460800 is an abundant number, since it is smaller than the sum of its proper divisors (1738149881280).

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

668460460800 is a wasteful number, since it uses less digits than its factorization.

668460460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165099 (or 3165080 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 668460460800 in words is "six hundred sixty-eight billion, four hundred sixty million, four hundred sixty thousand, eight hundred".