668652800 has 108 divisors (see below), whose sum is σ = 1666726656. Its totient is φ = 265574400.

The previous prime is 668652791. The next prime is 668652811. The reversal of 668652800 is 8256866.

668652800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222127 + ... + 1222673.

Almost surely, 2^668652800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833363328).

668652800 is an abundant number, since it is smaller than the sum of its proper divisors (998073856).

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

668652800 is a wasteful number, since it uses less digits than its factorization.

668652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 668652800 is about 25858.3216779434. The cubic root of 668652800 is about 874.4471282907.

The spelling of 668652800 in words is "six hundred sixty-eight million, six hundred fifty-two thousand, eight hundred".