6768919817260 has 96 divisors (see below), whose sum is σ = 15154420377600. Its totient is φ = 2533729406208.

The previous prime is 6768919817131. The next prime is 6768919817267. The reversal of 6768919817260 is 627189198676.

It is a self number, because there is not a number n which added to its sum of digits gives 6768919817260.

It is not an unprimeable number, because it can be changed into a prime (6768919817267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55047967 + ... + 55170793.

It is an arithmetic number, because the mean of its divisors is an integer number (157858545600).

Almost surely, 2^{6768919817260} 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 6768919817260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577210188800).

6768919817260 is an abundant number, since it is smaller than the sum of its proper divisors (8385500560340).

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

6768919817260 is a wasteful number, since it uses less digits than its factorization.

6768919817260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125455 (or 125453 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 70.

The spelling of 6768919817260 in words is "six trillion, seven hundred sixty-eight billion, nine hundred nineteen million, eight hundred seventeen thousand, two hundred sixty".