6786560656876 has 288 divisors, whose sum is σ = 16209174159360. Its totient is φ = 2419202903040.

The previous prime is 6786560656859. The next prime is 6786560656937.

6786560656876 is nontrivially palindromic in base 10.

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, 2452676845 + ... + 2452679611.

It is an arithmetic number, because the mean of its divisors is an integer number (56281854720).

Almost surely, 2^{6786560656876} 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 6786560656876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104587079680).

6786560656876 is an abundant number, since it is smaller than the sum of its proper divisors (9422613502484).

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

6786560656876 is a wasteful number, since it uses less digits than its factorization.

6786560656876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 76.

The spelling of 6786560656876 in words is "six trillion, seven hundred eighty-six billion, five hundred sixty million, six hundred fifty-six thousand, eight hundred seventy-six".