7627052889 has 27 divisors (see below), whose sum is σ = 11295703263. Its totient is φ = 4959117072.

The previous prime is 7627052879. The next prime is 7627052891. The reversal of 7627052889 is 9882507267.

It is a happy number.

The square root of 7627052889 is 87333.

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

7627052889 is a `hidden beast` number, since 7 + 627 + 0 + 5 + 2 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7582055625 + 44997264 = 87075^2 + 6708^2 .

It is not a de Polignac number, because 7627052889 - 2¹⁷ = 7626921817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7627052879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11265619 + ... + 11266295.

Almost surely, 2^7627052889 is an apocalyptic number.

7627052889 is the 87333-rd square number.

7627052889 is the 43667-th centered octagonal number.

It is an amenable number.

7627052889 is a deficient number, since it is larger than the sum of its proper divisors (3668650374).

7627052889 is an frugal number, since it uses more digits than its factorization.

7627052889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 7627052889 is about 1968.4252137727.

The spelling of 7627052889 in words is "seven billion, six hundred twenty-seven million, fifty-two thousand, eight hundred eighty-nine".