6760672294272 has 256 divisors, whose sum is σ = 20407043059200. Its totient is φ = 1967403220992.

The previous prime is 6760672294261. The next prime is 6760672294279. The reversal of 6760672294272 is 2724922760676.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6760672294279) 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, 9887823 + ... + 10549425.

It is an arithmetic number, because the mean of its divisors is an integer number (79715011950).

Almost surely, 2^{6760672294272} 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 6760672294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203521529600).

6760672294272 is an abundant number, since it is smaller than the sum of its proper divisors (13646370764928).

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

6760672294272 is a wasteful number, since it uses less digits than its factorization.

6760672294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661745 (or 661733 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 6760672294272 in words is "six trillion, seven hundred sixty billion, six hundred seventy-two million, two hundred ninety-four thousand, two hundred seventy-two".