668800693360800 has 4608 divisors, whose sum is σ = 3371443413811200. Its totient is φ = 123482382336000.

The previous prime is 668800693360781. The next prime is 668800693360867. The reversal of 668800693360800 is 8063396008866.

668800693360800 is a `hidden beast` number, since 6 + 68 + 80 + 0 + 69 + 3 + 360 + 80 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 61989121806 + ... + 61989132594.

It is an arithmetic number, because the mean of its divisors is an integer number (731650046400).

Almost surely, 2^{668800693360800} is an apocalyptic number.

668800693360800 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 668800693360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685721706905600).

668800693360800 is an abundant number, since it is smaller than the sum of its proper divisors (2702642720450400).

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

668800693360800 is a wasteful number, since it uses less digits than its factorization.

668800693360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 668800693360800 in words is "six hundred sixty-eight trillion, eight hundred billion, six hundred ninety-three million, three hundred sixty thousand, eight hundred".