663842304 has 100 divisors (see below), whose sum is σ = 1981518264. Its totient is φ = 221266944.

The previous prime is 663842303. The next prime is 663842341. The reversal of 663842304 is 403248366.

It is a happy number.

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 (663842303) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33469 + ... + 49475.

Almost surely, 2^663842304 is an apocalyptic number.

663842304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990759132).

663842304 is an abundant number, since it is smaller than the sum of its proper divisors (1317675960).

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

663842304 is an equidigital number, since it uses as much as digits as its factorization.

663842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 663842304 is about 25765.1373759194. The cubic root of 663842304 is about 872.3450644557.

The spelling of 663842304 in words is "six hundred sixty-three million, eight hundred forty-two thousand, three hundred four".