6579084864 has 448 divisors, whose sum is σ = 21741944832. Its totient is φ = 1730150400.

The previous prime is 6579084821. The next prime is 6579084871. The reversal of 6579084864 is 4684809756.

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, 25599424 + ... + 25599680.

Almost surely, 2^6579084864 is an apocalyptic number.

6579084864 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 6579084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870972416).

6579084864 is an abundant number, since it is smaller than the sum of its proper divisors (15162859968).

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

6579084864 is a wasteful number, since it uses less digits than its factorization.

6579084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 6579084864 is about 81111.5581406251. The cubic root of 6579084864 is about 1873.7939374177.

The spelling of 6579084864 in words is "six billion, five hundred seventy-nine million, eighty-four thousand, eight hundred sixty-four".