6788430348876 has 144 divisors (see below), whose sum is σ = 18884676789888. Its totient is φ = 2055971190240.

The previous prime is 6788430348871. The next prime is 6788430348901.

6788430348876 is a `hidden beast` number, since 6 + 7 + 88 + 430 + 3 + 48 + 8 + 76 = 666.

6788430348876 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6788430348871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89421231 + ... + 89497113.

Almost surely, 2^{6788430348876} is an apocalyptic number.

6788430348876 is a gapful number since it is divisible by the number (66) 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 6788430348876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442338394944).

6788430348876 is an abundant number, since it is smaller than the sum of its proper divisors (12096246441012).

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

6788430348876 is a wasteful number, since it uses less digits than its factorization.

6788430348876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77793 (or 77766 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 6788430348876 in words is "six trillion, seven hundred eighty-eight billion, four hundred thirty million, three hundred forty-eight thousand, eight hundred seventy-six".