6878401264 has 80 divisors (see below), whose sum is σ = 15587296000. Its totient is φ = 2939219136.

The previous prime is 6878401259. The next prime is 6878401273. The reversal of 6878401264 is 4621048786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078299 + ... + 2081605.

It is an arithmetic number, because the mean of its divisors is an integer number (194841200).

Almost surely, 2^6878401264 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 6878401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793648000).

6878401264 is an abundant number, since it is smaller than the sum of its proper divisors (8708894736).

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

6878401264 is a wasteful number, since it uses less digits than its factorization.

6878401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 6878401264 is about 82936.1276163772. The cubic root of 6878401264 is about 1901.7897506911.

The spelling of 6878401264 in words is "six billion, eight hundred seventy-eight million, four hundred one thousand, two hundred sixty-four".