6681785981376 has 224 divisors, whose sum is σ = 19440554821632. Its totient is φ = 2008585175040.

The previous prime is 6681785981369. The next prime is 6681785981411. The reversal of 6681785981376 is 6731895871866.

It is a junction number, because it is equal to n+sod(n) for n = 6681785981298 and 6681785981307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453394680 + ... + 453409416.

It is an arithmetic number, because the mean of its divisors is an integer number (86788191168).

Almost surely, 2^{6681785981376} is an apocalyptic number.

6681785981376 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 6681785981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720277410816).

6681785981376 is an abundant number, since it is smaller than the sum of its proper divisors (12758768840256).

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

6681785981376 is a wasteful number, since it uses less digits than its factorization.

6681785981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16467 (or 16457 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 75.

The spelling of 6681785981376 in words is "six trillion, six hundred eighty-one billion, seven hundred eighty-five million, nine hundred eighty-one thousand, three hundred seventy-six".