6681836715840 has 2016 divisors, whose sum is σ = 28576166774400. Its totient is φ = 1467600076800.

The previous prime is 6681836715839. The next prime is 6681836715863. The reversal of 6681836715840 is 485176381866.

6681836715840 is a `hidden beast` number, since 6 + 6 + 8 + 18 + 36 + 7 + 1 + 584 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10424081920 + ... + 10424082560.

It is an arithmetic number, because the mean of its divisors is an integer number (14174685900).

Almost surely, 2^{6681836715840} is an apocalyptic number.

6681836715840 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 6681836715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288083387200).

6681836715840 is an abundant number, since it is smaller than the sum of its proper divisors (21894330058560).

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

6681836715840 is a wasteful number, since it uses less digits than its factorization.

6681836715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6681836715840 in words is "six trillion, six hundred eighty-one billion, eight hundred thirty-six million, seven hundred fifteen thousand, eight hundred forty".