6871680236160 has 768 divisors, whose sum is σ = 26827028616960. Its totient is φ = 1611284742144.

The previous prime is 6871680236153. The next prime is 6871680236171. The reversal of 6871680236160 is 616320861786.

6871680236160 is a `hidden beast` number, since 6 + 8 + 7 + 16 + 8 + 0 + 2 + 3 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6871680236097 and 6871680236106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96807402 + ... + 96878358.

It is an arithmetic number, because the mean of its divisors is an integer number (34931026845).

Almost surely, 2^{6871680236160} is an apocalyptic number.

6871680236160 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 6871680236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413514308480).

6871680236160 is an abundant number, since it is smaller than the sum of its proper divisors (19955348380800).

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

6871680236160 is a wasteful number, since it uses less digits than its factorization.

6871680236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71065 (or 71050 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6871680236160 in words is "six trillion, eight hundred seventy-one billion, six hundred eighty million, two hundred thirty-six thousand, one hundred sixty".