6870127680 has 168 divisors, whose sum is σ = 25448236632. Its totient is φ = 1691099136.

The previous prime is 6870127661. The next prime is 6870127739. The reversal of 6870127680 is 867210786.

It can be written as a sum of positive squares in 4 ways, for example, as 927567936 + 5942559744 = 30456^2 + 77088^2 .

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, 54309 + ... + 129188.

It is an arithmetic number, because the mean of its divisors is an integer number (151477599).

Almost surely, 2^6870127680 is an apocalyptic number.

6870127680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6870127680 is an abundant number, since it is smaller than the sum of its proper divisors (18578108952).

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

6870127680 is a wasteful number, since it uses less digits than its factorization.

6870127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183533 (or 183520 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6870127680 is about 82886.2333563300. The cubic root of 6870127680 is about 1901.0269314648.

The spelling of 6870127680 in words is "six billion, eight hundred seventy million, one hundred twenty-seven thousand, six hundred eighty".