6627499318449 has 27 divisors (see below), whose sum is σ = 9604605915723. Its totient is φ = 4403818451232.

The previous prime is 6627499318441. The next prime is 6627499318477. The reversal of 6627499318449 is 9448139947266.

It is a happy number.

The square root of 6627499318449 is 2574393.

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

6627499318449 is a `hidden beast` number, since 6 + 6 + 27 + 499 + 31 + 84 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4939661826225 + 1687837492224 = 2222535^2 + 1299168^2 .

It is not a de Polignac number, because 6627499318449 - 2³ = 6627499318441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6627499318441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2679941877 + ... + 2679944349.

Almost surely, 2^{6627499318449} is an apocalyptic number.

6627499318449 is the 2574393-rd square number.

6627499318449 is the 1287197-th centered octagonal number.

It is an amenable number.

6627499318449 is a deficient number, since it is larger than the sum of its proper divisors (2977106597274).

6627499318449 is an frugal number, since it uses more digits than its factorization.

6627499318449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 2823 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 6627499318449 in words is "six trillion, six hundred twenty-seven billion, four hundred ninety-nine million, three hundred eighteen thousand, four hundred forty-nine".