664464000 has 256 divisors, whose sum is σ = 2240409600. Its totient is φ = 174182400.

The previous prime is 664463981. The next prime is 664464001. The reversal of 664464000 is 464466.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (664464001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5231937 + ... + 5232063.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2^664464000 is an apocalyptic number.

664464000 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 664464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120204800).

664464000 is an abundant number, since it is smaller than the sum of its proper divisors (1575945600).

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

664464000 is a wasteful number, since it uses less digits than its factorization.

664464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 664464000 is about 25777.1992272240. The cubic root of 664464000 is about 872.6172999055.

The spelling of 664464000 in words is "six hundred sixty-four million, four hundred sixty-four thousand".