6864054912 has 1024 divisors, whose sum is σ = 27143424000. Its totient is φ = 1672151040.

The previous prime is 6864054881. The next prime is 6864054917. The reversal of 6864054912 is 2194504686.

6864054912 is a `hidden beast` number, since 68 + 6 + 40 + 549 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6864054917) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 159629163 + ... + 159629205.

It is an arithmetic number, because the mean of its divisors is an integer number (26507250).

Almost surely, 2^6864054912 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 6864054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571712000).

6864054912 is an abundant number, since it is smaller than the sum of its proper divisors (20279369088).

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

6864054912 is a wasteful number, since it uses less digits than its factorization.

6864054912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6864054912 is about 82849.5921052120. The cubic root of 6864054912 is about 1900.4666362629.

The spelling of 6864054912 in words is "six billion, eight hundred sixty-four million, fifty-four thousand, nine hundred twelve".