6876259767696 has 240 divisors, whose sum is σ = 21201728698944. Its totient is φ = 1897878528000.

The previous prime is 6876259767691. The next prime is 6876259767739. The reversal of 6876259767696 is 6967679526786.

It is not an unprimeable number, because it can be changed into a prime (6876259767691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8227356 + ... + 9024516.

Almost surely, 2^{6876259767696} is an apocalyptic number.

6876259767696 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 6876259767696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600864349472).

6876259767696 is an abundant number, since it is smaller than the sum of its proper divisors (14325468931248).

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

6876259767696 is a wasteful number, since it uses less digits than its factorization.

6876259767696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797262 (or 797225 counting only the distinct ones).

The product of its digits is 17283248640, while the sum is 84.

The spelling of 6876259767696 in words is "six trillion, eight hundred seventy-six billion, two hundred fifty-nine million, seven hundred sixty-seven thousand, six hundred ninety-six".