664404192 has 144 divisors (see below), whose sum is σ = 1955968560. Its totient is φ = 213811200.

The previous prime is 664404157. The next prime is 664404229. The reversal of 664404192 is 291404466.

664404192 is a `hidden beast` number, since 6 + 64 + 404 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1036192 + ... + 1036832.

It is an arithmetic number, because the mean of its divisors is an integer number (13583115).

Almost surely, 2^664404192 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 664404192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977984280).

664404192 is an abundant number, since it is smaller than the sum of its proper divisors (1291564368).

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

664404192 is a wasteful number, since it uses less digits than its factorization.

664404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 664404192 is about 25776.0391061156. The cubic root of 664404192 is about 872.5911178693.

The spelling of 664404192 in words is "six hundred sixty-four million, four hundred four thousand, one hundred ninety-two".