668095612800 has 768 divisors, whose sum is σ = 2795458936320. Its totient is φ = 136197734400.

The previous prime is 668095612799. The next prime is 668095612823. The reversal of 668095612800 is 8216590866.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 39169074 + ... + 39186126.

It is an arithmetic number, because the mean of its divisors is an integer number (3639920490).

Almost surely, 2^668095612800 is an apocalyptic number.

668095612800 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 668095612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397729468160).

668095612800 is an abundant number, since it is smaller than the sum of its proper divisors (2127363323520).

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

668095612800 is a wasteful number, since it uses less digits than its factorization.

668095612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 668095612800 in words is "six hundred sixty-eight billion, ninety-five million, six hundred twelve thousand, eight hundred".