663974304 has 432 divisors, whose sum is σ = 2364199488. Its totient is φ = 161796096.

The previous prime is 663974293. The next prime is 663974371. The reversal of 663974304 is 403479366.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28868437 + ... + 28868459.

It is an arithmetic number, because the mean of its divisors is an integer number (5472684).

Almost surely, 2^663974304 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 663974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182099744).

663974304 is an abundant number, since it is smaller than the sum of its proper divisors (1700225184).

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

663974304 is a wasteful number, since it uses less digits than its factorization.

663974304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 663974304 is about 25767.6988495286. The cubic root of 663974304 is about 872.4028803538.

The spelling of 663974304 in words is "six hundred sixty-three million, nine hundred seventy-four thousand, three hundred four".