664804800 has 336 divisors, whose sum is σ = 2645664000. Its totient is φ = 161049600.

The previous prime is 664804781. The next prime is 664804807. The reversal of 664804800 is 8408466.

664804800 is a `hidden beast` number, since 6 + 648 + 0 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664804807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474501 + ... + 475899.

It is an arithmetic number, because the mean of its divisors is an integer number (7874000).

Almost surely, 2^664804800 is an apocalyptic number.

664804800 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 664804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322832000).

664804800 is an abundant number, since it is smaller than the sum of its proper divisors (1980859200).

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

664804800 is a wasteful number, since it uses less digits than its factorization.

664804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 664804800 is about 25783.8088730118. The cubic root of 664804800 is about 872.7664613084.

The spelling of 664804800 in words is "six hundred sixty-four million, eight hundred four thousand, eight hundred".