663683328 has 576 divisors, whose sum is σ = 2590156800. Its totient is φ = 162570240.

The previous prime is 663683323. The next prime is 663683329. The reversal of 663683328 is 823386366.

663683328 is a `hidden beast` number, since 6 + 636 + 8 + 3 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (663683323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15434475 + ... + 15434517.

It is an arithmetic number, because the mean of its divisors is an integer number (4496800).

Almost surely, 2^663683328 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 663683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295078400).

663683328 is an abundant number, since it is smaller than the sum of its proper divisors (1926473472).

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

663683328 is a wasteful number, since it uses less digits than its factorization.

663683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 663683328 is about 25762.0520921762. The cubic root of 663683328 is about 872.2754229158.

It can be divided in two parts, 66368 and 3328, that added together give a palindrome (69696).

The spelling of 663683328 in words is "six hundred sixty-three million, six hundred eighty-three thousand, three hundred twenty-eight".