6304864224 has 96 divisors (see below), whose sum is σ = 16698165120. Its totient is φ = 2082931200.

The previous prime is 6304864201. The next prime is 6304864229. The reversal of 6304864224 is 4224684036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6304864229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8531247 + ... + 8531985.

It is an arithmetic number, because the mean of its divisors is an integer number (173939220).

Almost surely, 2^6304864224 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 6304864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349082560).

6304864224 is an abundant number, since it is smaller than the sum of its proper divisors (10393300896).

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

6304864224 is a wasteful number, since it uses less digits than its factorization.

6304864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 6304864224 is about 79403.1751506198. The cubic root of 6304864224 is about 1847.3899618720.

The spelling of 6304864224 in words is "six billion, three hundred four million, eight hundred sixty-four thousand, two hundred twenty-four".