6878582496 has 144 divisors (see below), whose sum is σ = 19968923520. Its totient is φ = 2245351680.

The previous prime is 6878582479. The next prime is 6878582519. The reversal of 6878582496 is 6942858786.

6878582496 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 582 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5623741 + ... + 5624963.

It is an arithmetic number, because the mean of its divisors is an integer number (138673080).

Almost surely, 2^6878582496 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 6878582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984461760).

6878582496 is an abundant number, since it is smaller than the sum of its proper divisors (13090341024).

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

6878582496 is a wasteful number, since it uses less digits than its factorization.

6878582496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 6878582496 is about 82937.2202090232. The cubic root of 6878582496 is about 1901.8064533191.

The spelling of 6878582496 in words is "six billion, eight hundred seventy-eight million, five hundred eighty-two thousand, four hundred ninety-six".