664310160 has 200 divisors, whose sum is σ = 2382395136. Its totient is φ = 171383040.

The previous prime is 664310149. The next prime is 664310177. The reversal of 664310160 is 61013466.

664310160 is a `hidden beast` number, since 6 + 643 + 1 + 0 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199227 + ... + 202533.

Almost surely, 2^664310160 is an apocalyptic number.

664310160 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 664310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191197568).

664310160 is an abundant number, since it is smaller than the sum of its proper divisors (1718084976).

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

664310160 is a wasteful number, since it uses less digits than its factorization.

664310160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 664310160 is about 25774.2150219944. The cubic root of 664310160 is about 872.5499504795.

The spelling of 664310160 in words is "six hundred sixty-four million, three hundred ten thousand, one hundred sixty".