7644441005 has 18 divisors (see below), whose sum is σ = 9340749054. Its totient is φ = 6005913600.

The previous prime is 7644440963. The next prime is 7644441029. The reversal of 7644441005 is 5001444467.

It can be written as a sum of positive squares in 9 ways, for example, as 2434632964 + 5209808041 = 49342^2 + 72179^2 .

It is not a de Polignac number, because 7644441005 - 2³⁰ = 6570699181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11925485 + ... + 11926125.

It is an arithmetic number, because the mean of its divisors is an integer number (518930503).

Almost surely, 2^7644441005 is an apocalyptic number.

It is an amenable number.

7644441005 is a deficient number, since it is larger than the sum of its proper divisors (1696308049).

7644441005 is an frugal number, since it uses more digits than its factorization.

7644441005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 7644441005 is about 87432.4939882193. The cubic root of 7644441005 is about 1969.9199470163.

The spelling of 7644441005 in words is "seven billion, six hundred forty-four million, four hundred forty-one thousand, five".