668504800 has 72 divisors (see below), whose sum is σ = 1654487856. Its totient is φ = 263715840.

The previous prime is 668504779. The next prime is 668504807. The reversal of 668504800 is 8405866.

It is a self number, because there is not a number n which added to its sum of digits gives 668504800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668504807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52677 + ... + 64123.

It is an arithmetic number, because the mean of its divisors is an integer number (22978998).

Almost surely, 2^668504800 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 668504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827243928).

668504800 is an abundant number, since it is smaller than the sum of its proper divisors (985983056).

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

668504800 is a wasteful number, since it uses less digits than its factorization.

668504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11540 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 668504800 is about 25855.4597715840. The cubic root of 668504800 is about 874.3826066513.

The spelling of 668504800 in words is "six hundred sixty-eight million, five hundred four thousand, eight hundred".