6871122960 has 320 divisors, whose sum is σ = 23661818880. Its totient is φ = 1638973440.

The previous prime is 6871122919. The next prime is 6871122989. The reversal of 6871122960 is 692211786.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15035052 + ... + 15035508.

It is an arithmetic number, because the mean of its divisors is an integer number (73943184).

Almost surely, 2^6871122960 is an apocalyptic number.

6871122960 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 6871122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11830909440).

6871122960 is an abundant number, since it is smaller than the sum of its proper divisors (16790695920).

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

6871122960 is a wasteful number, since it uses less digits than its factorization.

6871122960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 6871122960 is about 82892.2370309790. The cubic root of 6871122960 is about 1901.1187280472.

The spelling of 6871122960 in words is "six billion, eight hundred seventy-one million, one hundred twenty-two thousand, nine hundred sixty".