6780917620116 has 144 divisors (see below), whose sum is σ = 17545110657984. Its totient is φ = 2207692827648.

The previous prime is 6780917620079. The next prime is 6780917620171. The reversal of 6780917620116 is 6110267190876.

6780917620116 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 9 + 1 + 7 + 620 + 1 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134019375 + ... + 134069961.

It is an arithmetic number, because the mean of its divisors is an integer number (121841046236).

Almost surely, 2^{6780917620116} 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 6780917620116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772555328992).

6780917620116 is an abundant number, since it is smaller than the sum of its proper divisors (10764193037868).

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

6780917620116 is a wasteful number, since it uses less digits than its factorization.

6780917620116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51190 (or 51185 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 6780917620116 in words is "six trillion, seven hundred eighty billion, nine hundred seventeen million, six hundred twenty thousand, one hundred sixteen".