6864310656 has 512 divisors, whose sum is σ = 24409497600. Its totient is φ = 1881169920.

The previous prime is 6864310639. The next prime is 6864310667. The reversal of 6864310656 is 6560134686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60746056 + ... + 60746168.

It is an arithmetic number, because the mean of its divisors is an integer number (47674800).

Almost surely, 2^6864310656 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 6864310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204748800).

6864310656 is an abundant number, since it is smaller than the sum of its proper divisors (17545186944).

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

6864310656 is an equidigital number, since it uses as much as digits as its factorization.

6864310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6864310656 is about 82851.1355142463. The cubic root of 6864310656 is about 1900.4902387791.

The spelling of 6864310656 in words is "six billion, eight hundred sixty-four million, three hundred ten thousand, six hundred fifty-six".