6864602304 has 448 divisors, whose sum is σ = 22673088512. Its totient is φ = 1791590400.

The previous prime is 6864602291. The next prime is 6864602351. The reversal of 6864602304 is 4032064686.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94035612 + ... + 94035684.

Almost surely, 2^6864602304 is an apocalyptic number.

6864602304 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 6864602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336544256).

6864602304 is an abundant number, since it is smaller than the sum of its proper divisors (15808486208).

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

6864602304 is a wasteful number, since it uses less digits than its factorization.

6864602304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 6864602304 is about 82852.8955679884. The cubic root of 6864602304 is about 1900.5171541464.

The spelling of 6864602304 in words is "six billion, eight hundred sixty-four million, six hundred two thousand, three hundred four".