7616976252769 has 27 divisors (see below), whose sum is σ = 8429056933017. Its totient is φ = 6879934629984.

The previous prime is 7616976252751. The next prime is 7616976252779. The reversal of 7616976252769 is 9672526796167.

It is a happy number.

The square root of 7616976252769 is 2759887.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6128283438369 + 1488692814400 = 2475537^2 + 1220120^2 .

It is not a de Polignac number, because 7616976252769 - 2⁴¹ = 5417952997217 is a prime.

It is a super-2 number, since 2×7616976252769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7616976252779) 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, 1686288699 + ... + 1686293215.

Almost surely, 2^{7616976252769} is an apocalyptic number.

7616976252769 is the 2759887-th square number.

7616976252769 is the 1379944-th centered octagonal number.

It is an amenable number.

7616976252769 is a deficient number, since it is larger than the sum of its proper divisors (812080680248).

7616976252769 is an frugal number, since it uses more digits than its factorization.

7616976252769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 4577 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 73.

The spelling of 7616976252769 in words is "seven trillion, six hundred sixteen billion, nine hundred seventy-six million, two hundred fifty-two thousand, seven hundred sixty-nine".