7680267729 has 12 divisors (see below), whose sum is σ = 11168176500. Its totient is φ = 5085813984.

The previous prime is 7680267677. The next prime is 7680267733. The reversal of 7680267729 is 9277620867.

It can be written as a sum of positive squares in 2 ways, for example, as 3940700625 + 3739567104 = 62775^2 + 61152^2 .

It is not a de Polignac number, because 7680267729 - 2⁷ = 7680267601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7680267739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2862294 + ... + 2864975.

It is an arithmetic number, because the mean of its divisors is an integer number (930681375).

Almost surely, 2^7680267729 is an apocalyptic number.

It is an amenable number.

7680267729 is a deficient number, since it is larger than the sum of its proper divisors (3487908771).

7680267729 is a wasteful number, since it uses less digits than its factorization.

7680267729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727424 (or 5727421 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7680267729 is about 87637.1367001456. The cubic root of 7680267729 is about 1972.9925854651.

The spelling of 7680267729 in words is "seven billion, six hundred eighty million, two hundred sixty-seven thousand, seven hundred twenty-nine".