7824680009 has 2 divisors, whose sum is σ = 7824680010. Its totient is φ = 7824680008.

The previous prime is 7824679987. The next prime is 7824680011. The reversal of 7824680009 is 9000864287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7521745984 + 302934025 = 86728^2 + 17405^2 .

It is an emirp because it is prime and its reverse (9000864287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7824680009 - 2²⁴ = 7807902793 is a prime.

It is a super-2 number, since 2×7824680009² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 7824680011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7824680089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3912340004 + 3912340005.

It is an arithmetic number, because the mean of its divisors is an integer number (3912340005).

Almost surely, 2^7824680009 is an apocalyptic number.

It is an amenable number.

7824680009 is a deficient number, since it is larger than the sum of its proper divisors (1).

7824680009 is an equidigital number, since it uses as much as digits as its factorization.

7824680009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 7824680009 is about 88457.2213502097. The cubic root of 7824680009 is about 1985.2819560270.

The spelling of 7824680009 in words is "seven billion, eight hundred twenty-four million, six hundred eighty thousand, nine".