664940160 has 192 divisors, whose sum is σ = 2331744480. Its totient is φ = 174569472.

The previous prime is 664940147. The next prime is 664940183. The reversal of 664940160 is 61049466.

664940160 is a `hidden beast` number, since 6 + 6 + 494 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 385059 + ... + 386781.

Almost surely, 2^664940160 is an apocalyptic number.

664940160 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 664940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165872240).

664940160 is an abundant number, since it is smaller than the sum of its proper divisors (1666804320).

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

664940160 is a wasteful number, since it uses less digits than its factorization.

664940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 664940160 is about 25786.4336425183. The cubic root of 664940160 is about 872.8256915523.

The spelling of 664940160 in words is "six hundred sixty-four million, nine hundred forty thousand, one hundred sixty".