6727116361 has 9 divisors (see below), whose sum is σ = 7826088999. Its totient is φ = 5765607624.

The previous prime is 6727116313. The next prime is 6727116377. The reversal of 6727116361 is 1636117276.

The square root of 6727116361 is 82019.

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

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 6698440336 = 5355^2 + 81844^2 .

It is not a de Polignac number, because 6727116361 - 2⁷ = 6727116233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6727116301) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 568275 + ... + 579991.

Almost surely, 2^6727116361 is an apocalyptic number.

6727116361 is the 82019-th square number.

6727116361 is the 41010-th centered octagonal number.

It is an amenable number.

6727116361 is a deficient number, since it is larger than the sum of its proper divisors (1098972638).

6727116361 is an frugal number, since it uses more digits than its factorization.

6727116361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23448 (or 11724 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The cubic root of 6727116361 is about 1887.7434843769.

Multiplying 6727116361 by its product of digits (63504), we get a square (427198797388944 = 20668788²).

The spelling of 6727116361 in words is "six billion, seven hundred twenty-seven million, one hundred sixteen thousand, three hundred sixty-one".