6879116160 has 768 divisors, whose sum is σ = 28870732800. Its totient is φ = 1532805120.

The previous prime is 6879116141. The next prime is 6879116171. The reversal of 6879116160 is 616119786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77293396 + ... + 77293484.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 2^6879116160 is an apocalyptic number.

6879116160 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 6879116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

6879116160 is an abundant number, since it is smaller than the sum of its proper divisors (21991616640).

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

6879116160 is an equidigital number, since it uses as much as digits as its factorization.

6879116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 6879116160 is about 82940.4374234908. The cubic root of 6879116160 is about 1901.8556349343.

6879116160 divided by its product of nonzero digits (108864) gives a triangular number (63190 = T₃₅₅).

The spelling of 6879116160 in words is "six billion, eight hundred seventy-nine million, one hundred sixteen thousand, one hundred sixty".