664486800 has 120 divisors (see below), whose sum is σ = 2142737856. Its totient is φ = 176017920.

The previous prime is 664486787. The next prime is 664486819. The reversal of 664486800 is 8684466.

It is a tau number, because it is divible by the number of its divisors (120).

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, 186637 + ... + 190163.

Almost surely, 2^664486800 is an apocalyptic number.

664486800 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 664486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071368928).

664486800 is an abundant number, since it is smaller than the sum of its proper divisors (1478251056).

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

664486800 is a wasteful number, since it uses less digits than its factorization.

664486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 664486800 is about 25777.6414747354. The cubic root of 664486800 is about 872.6272806051.

The spelling of 664486800 in words is "six hundred sixty-four million, four hundred eighty-six thousand, eight hundred".