6765611964241 has 15 divisors (see below), whose sum is σ = 7329869464893. Its totient is φ = 6244774506360.

The previous prime is 6765611964233. The next prime is 6765611964257. The reversal of 6765611964241 is 1424691165676.

It is a happy number.

The square root of 6765611964241 is 2601079.

It is a perfect power (a square), and thus also a powerful number.

6765611964241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3354498477841 + 3411113486400 = 1831529^2 + 1846920^2 .

It is not a de Polignac number, because 6765611964241 - 2³ = 6765611964233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6765611914241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 439574656 + ... + 439590046.

Almost surely, 2^{6765611964241} is an apocalyptic number.

6765611964241 is the 2601079-th square number.

6765611964241 is the 1300540-th centered octagonal number.

It is an amenable number.

6765611964241 is a deficient number, since it is larger than the sum of its proper divisors (564257500652).

6765611964241 is an frugal number, since it uses more digits than its factorization.

6765611964241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30834 (or 15404 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 6765611964241 in words is "six trillion, seven hundred sixty-five billion, six hundred eleven million, nine hundred sixty-four thousand, two hundred forty-one".