6855880560 has 80 divisors (see below), whose sum is σ = 21301969920. Its totient is φ = 1824042240.

The previous prime is 6855880501. The next prime is 6855880573. The reversal of 6855880560 is 650885586.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72825 + ... + 137895.

It is an arithmetic number, because the mean of its divisors is an integer number (266274624).

Almost surely, 2^6855880560 is an apocalyptic number.

6855880560 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 6855880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650984960).

6855880560 is an abundant number, since it is smaller than the sum of its proper divisors (14446089360).

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

6855880560 is a wasteful number, since it uses less digits than its factorization.

6855880560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65526 (or 65520 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The square root of 6855880560 is about 82800.2449271740. The cubic root of 6855880560 is about 1899.7119193886.

The spelling of 6855880560 in words is "six billion, eight hundred fifty-five million, eight hundred eighty thousand, five hundred sixty".