6876918960 has 40 divisors (see below), whose sum is σ = 21318449520. Its totient is φ = 1833844992.

The previous prime is 6876918959. The next prime is 6876918967. The reversal of 6876918960 is 698196786.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6876918894 and 6876918903.

It is not an unprimeable number, because it can be changed into a prime (6876918967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14326675 + ... + 14327154.

It is an arithmetic number, because the mean of its divisors is an integer number (532961238).

Almost surely, 2^6876918960 is an apocalyptic number.

6876918960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6876918960 is an abundant number, since it is smaller than the sum of its proper divisors (14441530560).

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

6876918960 is a wasteful number, since it uses less digits than its factorization.

6876918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653845 (or 28653839 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 6876918960 is about 82927.1907157116. The cubic root of 6876918960 is about 1901.6531281935.

The spelling of 6876918960 in words is "six billion, eight hundred seventy-six million, nine hundred eighteen thousand, nine hundred sixty".