6868928641 has 9 divisors (see below), whose sum is σ = 6978621699. Its totient is φ = 6760937304.

The previous prime is 6868928623. The next prime is 6868928653. The reversal of 6868928641 is 1468298686.

The square root of 6868928641 is 82879.

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

6868928641 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 only one way, i.e., 5187600625 + 1681328016 = 72025^2 + 41004^2 .

It is not a de Polignac number, because 6868928641 - 2¹⁷ = 6868797569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6868928611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5552275 + ... + 5553511.

It is an arithmetic number, because the mean of its divisors is an integer number (775402411).

Almost surely, 2^6868928641 is an apocalyptic number.

6868928641 is the 82879-th square number.

6868928641 is the 41440-th centered octagonal number.

It is an amenable number.

6868928641 is a deficient number, since it is larger than the sum of its proper divisors (109693058).

6868928641 is an frugal number, since it uses more digits than its factorization.

6868928641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 1304 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The cubic root of 6868928641 is about 1900.9163300244.

The spelling of 6868928641 in words is "six billion, eight hundred sixty-eight million, nine hundred twenty-eight thousand, six hundred forty-one".