6876360720 has 120 divisors (see below), whose sum is σ = 23352802200. Its totient is φ = 1813075968.

The previous prime is 6876360707. The next prime is 6876360731. The reversal of 6876360720 is 270636786.

6876360720 is a `hidden beast` number, since 6 + 8 + 7 + 636 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 6871746816 = 2148^2 + 82896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 10426 + ... + 117734.

It is an arithmetic number, because the mean of its divisors is an integer number (194606685).

Almost surely, 2^6876360720 is an apocalyptic number.

6876360720 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 6876360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676401100).

6876360720 is an abundant number, since it is smaller than the sum of its proper divisors (16476441480).

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

6876360720 is a wasteful number, since it uses less digits than its factorization.

6876360720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107417 (or 107408 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6876360720 is about 82923.8248032494. The cubic root of 6876360720 is about 1901.6016706743.

The spelling of 6876360720 in words is "six billion, eight hundred seventy-six million, three hundred sixty thousand, seven hundred twenty".