7639546744729 has 27 divisors (see below), whose sum is σ = 7884135658623. Its totient is φ = 7402494600384.

The previous prime is 7639546744721. The next prime is 7639546744741. The reversal of 7639546744729 is 9274476459367.

The square root of 7639546744729 is 2763973.

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., 4697471043225 + 2942075701504 = 2167365^2 + 1715248^2 .

It is not a de Polignac number, because 7639546744729 - 2³ = 7639546744721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7639546744721) 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, 12882877857 + ... + 12882878449.

Almost surely, 2^{7639546744729} is an apocalyptic number.

7639546744729 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

7639546744729 is the 2763973-rd square number.

7639546744729 is the 1381987-th centered octagonal number.

It is an amenable number.

7639546744729 is a deficient number, since it is larger than the sum of its proper divisors (244588913894).

7639546744729 is an frugal number, since it uses more digits than its factorization.

7639546744729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 73.

The spelling of 7639546744729 in words is "seven trillion, six hundred thirty-nine billion, five hundred forty-six million, seven hundred forty-four thousand, seven hundred twenty-nine".