668368800 has 576 divisors, whose sum is σ = 2756073600. Its totient is φ = 154828800.

The previous prime is 668368781. The next prime is 668368817. The reversal of 668368800 is 8863866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6890352 + ... + 6890448.

It is an arithmetic number, because the mean of its divisors is an integer number (4784850).

Almost surely, 2^668368800 is an apocalyptic number.

668368800 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 668368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378036800).

668368800 is an abundant number, since it is smaller than the sum of its proper divisors (2087704800).

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

668368800 is a wasteful number, since it uses less digits than its factorization.

668368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 668368800 is about 25852.8296323633. The cubic root of 668368800 is about 874.3233080995.

The spelling of 668368800 in words is "six hundred sixty-eight million, three hundred sixty-eight thousand, eight hundred".