664324164 has 108 divisors (see below), whose sum is σ = 2068430364. Its totient is φ = 178633728.

The previous prime is 664324139. The next prime is 664324201. The reversal of 664324164 is 461423466.

664324164 is a `hidden beast` number, since 6 + 643 + 2 + 4 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249387264 + 414936900 = 15792^2 + 20370^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18912 + ... + 41064.

It is an arithmetic number, because the mean of its divisors is an integer number (19152133).

Almost surely, 2^664324164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664324164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034215182).

664324164 is an abundant number, since it is smaller than the sum of its proper divisors (1404106200).

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

664324164 is a wasteful number, since it uses less digits than its factorization.

664324164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22194 (or 22182 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 664324164 is about 25774.4866874202. The cubic root of 664324164 is about 872.5560817037.

The spelling of 664324164 in words is "six hundred sixty-four million, three hundred twenty-four thousand, one hundred sixty-four".