668140800 has 432 divisors, whose sum is σ = 2463592320. Its totient is φ = 158597120.

The previous prime is 668140793. The next prime is 668140801. The reversal of 668140800 is 8041866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7507156 + ... + 7507244.

It is an arithmetic number, because the mean of its divisors is an integer number (5702760).

Almost surely, 2^668140800 is an apocalyptic number.

668140800 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 668140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231796160).

668140800 is an abundant number, since it is smaller than the sum of its proper divisors (1795451520).

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

668140800 is a wasteful number, since it uses less digits than its factorization.

668140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 668140800 is about 25848.4196809012. The cubic root of 668140800 is about 874.2238777720.

The spelling of 668140800 in words is "six hundred sixty-eight million, one hundred forty thousand, eight hundred".