2768015842697 has 16 divisors (see below), whose sum is σ = 3197252860032. Its totient is φ = 2347248637440.

The previous prime is 2768015842679. The next prime is 2768015842721. The reversal of 2768015842697 is 7962485108672.

2768015842697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2768015842697 - 2¹⁰ = 2768015841673 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2768015842597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062047 + ... + 2581467.

It is an arithmetic number, because the mean of its divisors is an integer number (199828303752).

Almost surely, 2^{2768015842697} is an apocalyptic number.

It is an amenable number.

2768015842697 is a deficient number, since it is larger than the sum of its proper divisors (429237017335).

2768015842697 is a wasteful number, since it uses less digits than its factorization.

2768015842697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522208.

The product of its (nonzero) digits is 81285120, while the sum is 65.

The spelling of 2768015842697 in words is "two trillion, seven hundred sixty-eight billion, fifteen million, eight hundred forty-two thousand, six hundred ninety-seven".