663972192 has 144 divisors (see below), whose sum is σ = 2053331280. Its totient is φ = 202300416.

The previous prime is 663972143. The next prime is 663972203. The reversal of 663972192 is 291279366.

It is a happy number.

663972192 is a `hidden beast` number, since 6 + 639 + 7 + 2 + 1 + 9 + 2 = 666.

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

It is a congruent number.

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, 407283 + ... + 408909.

It is an arithmetic number, because the mean of its divisors is an integer number (14259245).

Almost surely, 2^663972192 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 663972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026665640).

663972192 is an abundant number, since it is smaller than the sum of its proper divisors (1389359088).

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

663972192 is a wasteful number, since it uses less digits than its factorization.

663972192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1754 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 663972192 is about 25767.6578679553. The cubic root of 663972192 is about 872.4019553598.

The spelling of 663972192 in words is "six hundred sixty-three million, nine hundred seventy-two thousand, one hundred ninety-two".