6871319136 has 432 divisors, whose sum is σ = 22992684624. Its totient is φ = 1928448000.

The previous prime is 6871319111. The next prime is 6871319149. The reversal of 6871319136 is 6319131786.

It is a junction number, because it is equal to n+sod(n) for n = 6871319091 and 6871319100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112644546 + ... + 112644606.

It is an arithmetic number, because the mean of its divisors is an integer number (53223807).

Almost surely, 2^6871319136 is an apocalyptic number.

6871319136 is a gapful number since it is divisible by the number (66) 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 6871319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496342312).

6871319136 is an abundant number, since it is smaller than the sum of its proper divisors (16121365488).

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

6871319136 is a wasteful number, since it uses less digits than its factorization.

6871319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 6871319136 is about 82893.4203420271. The cubic root of 6871319136 is about 1901.1368206899.

The spelling of 6871319136 in words is "six billion, eight hundred seventy-one million, three hundred nineteen thousand, one hundred thirty-six".