6864943104 has 240 divisors, whose sum is σ = 21227005800. Its totient is φ = 2207858688.

The previous prime is 6864943097. The next prime is 6864943139. The reversal of 6864943104 is 4013494686.

It is a self number, because there is not a number n which added to its sum of digits gives 6864943104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4810039 + ... + 4811465.

Almost surely, 2^6864943104 is an apocalyptic number.

6864943104 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 6864943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613502900).

6864943104 is an abundant number, since it is smaller than the sum of its proper divisors (14362062696).

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

6864943104 is a wasteful number, since it uses less digits than its factorization.

6864943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6864943104 is about 82854.9521996121. The cubic root of 6864943104 is about 1900.5486046466.

The spelling of 6864943104 in words is "six billion, eight hundred sixty-four million, nine hundred forty-three thousand, one hundred four".