668918400 has 192 divisors, whose sum is σ = 2242490400. Its totient is φ = 175206400.

The previous prime is 668918399. The next prime is 668918417. The reversal of 668918400 is 4819866.

668918400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565810 + ... + 566990.

Almost surely, 2^668918400 is an apocalyptic number.

668918400 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 668918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121245200).

668918400 is an abundant number, since it is smaller than the sum of its proper divisors (1573572000).

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

668918400 is a wasteful number, since it uses less digits than its factorization.

668918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 668918400 is about 25863.4568455185. The cubic root of 668918400 is about 874.5628946060.

The spelling of 668918400 in words is "six hundred sixty-eight million, nine hundred eighteen thousand, four hundred".