7716467289609 has 45 divisors (see below), whose sum is σ = 12077014048593. Its totient is φ = 4747728565008.

The previous prime is 7716467289599. The next prime is 7716467289623. The reversal of 7716467289609 is 9069827646177.

The square root of 7716467289609 is 2777853.

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

7716467289609 is a `hidden beast` number, since 7 + 7 + 1 + 6 + 4 + 6 + 7 + 2 + 8 + 9 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3825947736009 + 3890519553600 = 1956003^2 + 1972440^2 .

It is not a de Polignac number, because 7716467289609 - 2⁵ = 7716467289577 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7716467285609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1408368732 + ... + 1408374210.

Almost surely, 2^{7716467289609} is an apocalyptic number.

7716467289609 is the 2777853-rd square number.

7716467289609 is the 1388927-th centered octagonal number.

It is an amenable number.

7716467289609 is a deficient number, since it is larger than the sum of its proper divisors (4360546758984).

7716467289609 is an frugal number, since it uses more digits than its factorization.

7716467289609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 7716467289609 in words is "seven trillion, seven hundred sixteen billion, four hundred sixty-seven million, two hundred eighty-nine thousand, six hundred nine".