663975144 has 192 divisors, whose sum is σ = 2170022400. Its totient is φ = 186266304.

The previous prime is 663975127. The next prime is 663975199. The reversal of 663975144 is 441579366.

663975144 is a `hidden beast` number, since 6 + 639 + 7 + 5 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 663975144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802459 + ... + 803285.

It is an arithmetic number, because the mean of its divisors is an integer number (11302200).

Almost surely, 2^663975144 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 663975144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085011200).

663975144 is an abundant number, since it is smaller than the sum of its proper divisors (1506047256).

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

663975144 is a wasteful number, since it uses less digits than its factorization.

663975144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 663975144 is about 25767.7151489999. The cubic root of 663975144 is about 872.4032482486.

The spelling of 663975144 in words is "six hundred sixty-three million, nine hundred seventy-five thousand, one hundred forty-four".