664848000 has 512 divisors, whose sum is σ = 2609568000. Its totient is φ = 167961600.

The previous prime is 664847999. The next prime is 664848029. The reversal of 664848000 is 848466.

664848000 is a `hidden beast` number, since 6 + 648 + 4 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34991991 + ... + 34992009.

Almost surely, 2^664848000 is an apocalyptic number.

664848000 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 664848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304784000).

664848000 is an abundant number, since it is smaller than the sum of its proper divisors (1944720000).

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

664848000 is an frugal number, since it uses more digits than its factorization.

664848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

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

The square root of 664848000 is about 25784.6465944368. The cubic root of 664848000 is about 872.7853654512.

The spelling of 664848000 in words is "six hundred sixty-four million, eight hundred forty-eight thousand".