664203672 has 128 divisors (see below), whose sum is σ = 2118816000. Its totient is φ = 190667520.

The previous prime is 664203643. The next prime is 664203679. The reversal of 664203672 is 276302466.

It is a happy number.

664203672 is a `hidden beast` number, since 6 + 642 + 0 + 3 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664203679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37788 + ... + 52500.

It is an arithmetic number, because the mean of its divisors is an integer number (16553250).

Almost surely, 2^664203672 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 664203672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059408000).

664203672 is an abundant number, since it is smaller than the sum of its proper divisors (1454612328).

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

664203672 is a wasteful number, since it uses less digits than its factorization.

664203672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14758 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 664203672 is about 25772.1491536891. The cubic root of 664203672 is about 872.5033251379.

The spelling of 664203672 in words is "six hundred sixty-four million, two hundred three thousand, six hundred seventy-two".