6788818188876 has 96 divisors (see below), whose sum is σ = 16935422611968. Its totient is φ = 2111386083840.

The previous prime is 6788818188871. The next prime is 6788818188881.

6788818188876 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6788818188871) and next prime (6788818188881).

It is a super-2 number, since 2×6788818188876² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6788818188871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68332950 + ... + 68432226.

It is an arithmetic number, because the mean of its divisors is an integer number (176410652208).

Almost surely, 2^{6788818188876} 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 6788818188876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467711305984).

6788818188876 is an abundant number, since it is smaller than the sum of its proper divisors (10146604423092).

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

6788818188876 is a wasteful number, since it uses less digits than its factorization.

6788818188876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105391 (or 105389 counting only the distinct ones).

The product of its digits is 3699376128, while the sum is 84.

The spelling of 6788818188876 in words is "six trillion, seven hundred eighty-eight billion, eight hundred eighteen million, one hundred eighty-eight thousand, eight hundred seventy-six".