6327946522681 has 27 divisors (see below), whose sum is σ = 7819926189039. Its totient is φ = 5104656543168.

The previous prime is 6327946522669. The next prime is 6327946522697. The reversal of 6327946522681 is 1862256497236.

It is a happy number.

The square root of 6327946522681 is 2515541.

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., 4926601964025 + 1401344558656 = 2219595^2 + 1183784^2 .

It is not a de Polignac number, because 6327946522681 - 2⁷ = 6327946522553 is a prime.

It is a super-4 number, since 4×6327946522681⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6327946522621) 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 26 ways as a sum of consecutive naturals, for example, 299338810 + ... + 299359948.

Almost surely, 2^{6327946522681} is an apocalyptic number.

6327946522681 is the 2515541-st square number.

6327946522681 is the 1257771-st centered octagonal number.

It is an amenable number.

6327946522681 is a deficient number, since it is larger than the sum of its proper divisors (1491979666358).

6327946522681 is an frugal number, since it uses more digits than its factorization.

6327946522681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42326 (or 21163 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 6327946522681 in words is "six trillion, three hundred twenty-seven billion, nine hundred forty-six million, five hundred twenty-two thousand, six hundred eighty-one".