668809872000 has 1152 divisors, whose sum is σ = 2588140900800. Its totient is φ = 171631872000.

The previous prime is 668809871999. The next prime is 668809872053. The reversal of 668809872000 is 278908866.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3736367911 + ... + 3736368089.

Almost surely, 2^668809872000 is an apocalyptic number.

668809872000 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 668809872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294070450400).

668809872000 is an abundant number, since it is smaller than the sum of its proper divisors (1919331028800).

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

668809872000 is an equidigital number, since it uses as much as digits as its factorization.

668809872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 668809872000 in words is "six hundred sixty-eight billion, eight hundred nine million, eight hundred seventy-two thousand".