664868160 has 336 divisors, whose sum is σ = 2579046912. Its totient is φ = 155750400.

The previous prime is 664868143. The next prime is 664868173. The reversal of 664868160 is 61868466.

664868160 is a `hidden beast` number, since 6 + 6 + 486 + 8 + 160 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 981742 + ... + 982418.

Almost surely, 2^664868160 is an apocalyptic number.

664868160 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 664868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289523456).

664868160 is an abundant number, since it is smaller than the sum of its proper divisors (1914178752).

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

664868160 is a wasteful number, since it uses less digits than its factorization.

664868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

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

The square root of 664868160 is about 25785.0375217877. The cubic root of 664868160 is about 872.7941871042.

The spelling of 664868160 in words is "six hundred sixty-four million, eight hundred sixty-eight thousand, one hundred sixty".