6758670768576 has 112 divisors (see below), whose sum is σ = 18470593244160. Its totient is φ = 2178866626560.

The previous prime is 6758670768557. The next prime is 6758670768583.

6758670768576 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9285600 + ... + 9986976.

Almost surely, 2^{6758670768576} 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 6758670768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235296622080).

6758670768576 is an abundant number, since it is smaller than the sum of its proper divisors (11711922475584).

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

6758670768576 is a wasteful number, since it uses less digits than its factorization.

6758670768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703042 (or 703032 counting only the distinct ones).

The product of its (nonzero) digits is 4978713600, while the sum is 78.

The spelling of 6758670768576 in words is "six trillion, seven hundred fifty-eight billion, six hundred seventy million, seven hundred sixty-eight thousand, five hundred seventy-six".