6871109640 has 256 divisors, whose sum is σ = 22587102720. Its totient is φ = 1665269760.

The previous prime is 6871109617. The next prime is 6871109701. The reversal of 6871109640 is 469011786.

It is a junction number, because it is equal to n+sod(n) for n = 6871109592 and 6871109601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9450957 + ... + 9451683.

It is an arithmetic number, because the mean of its divisors is an integer number (88230870).

Almost surely, 2^6871109640 is an apocalyptic number.

6871109640 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 6871109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293551360).

6871109640 is an abundant number, since it is smaller than the sum of its proper divisors (15715993080).

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

6871109640 is a wasteful number, since it uses less digits than its factorization.

6871109640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

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

The square root of 6871109640 is about 82892.1566856600. The cubic root of 6871109640 is about 1901.1174995766.

The spelling of 6871109640 in words is "six billion, eight hundred seventy-one million, one hundred nine thousand, six hundred forty".