6879904560 has 320 divisors, whose sum is σ = 25423372800. Its totient is φ = 1704748032.

The previous prime is 6879904553. The next prime is 6879904561. The reversal of 6879904560 is 654099786.

6879904560 is a `hidden beast` number, since 6 + 8 + 79 + 9 + 0 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6879904497 and 6879904506.

It is not an unprimeable number, because it can be changed into a prime (6879904561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2173539 + ... + 2176701.

It is an arithmetic number, because the mean of its divisors is an integer number (79448040).

Almost surely, 2^6879904560 is an apocalyptic number.

6879904560 is a gapful number since it is divisible by the number (60) 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 6879904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711686400).

6879904560 is an abundant number, since it is smaller than the sum of its proper divisors (18543468240).

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

6879904560 is a wasteful number, since it uses less digits than its factorization.

6879904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6879904560 is about 82945.1900956288. The cubic root of 6879904560 is about 1901.9282879549.

The spelling of 6879904560 in words is "six billion, eight hundred seventy-nine million, nine hundred four thousand, five hundred sixty".