6681255672816 has 120 divisors (see below), whose sum is σ = 19394022036480. Its totient is φ = 2226710990016.

The previous prime is 6681255672779. The next prime is 6681255672857. The reversal of 6681255672816 is 6182765521866.

6681255672816 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 2 + 556 + 72 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23493811 + ... + 23776493.

It is an arithmetic number, because the mean of its divisors is an integer number (161616850304).

Almost surely, 2^{6681255672816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681255672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697011018240).

6681255672816 is an abundant number, since it is smaller than the sum of its proper divisors (12712766363664).

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

6681255672816 is a wasteful number, since it uses less digits than its factorization.

6681255672816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288785 (or 288767 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 6681255672816 in words is "six trillion, six hundred eighty-one billion, two hundred fifty-five million, six hundred seventy-two thousand, eight hundred sixteen".