10006680667 has 2 divisors, whose sum is σ = 10006680668. Its totient is φ = 10006680666.

The previous prime is 10006680643. The next prime is 10006680683. The reversal of 10006680667 is 76608660001.

10006680667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10006680667 - 2¹⁹ = 10006156379 is a prime.

It is not a weakly prime, because it can be changed into another prime (10006680967) 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 as a sum of consecutive naturals, namely, 5003340333 + 5003340334.

It is an arithmetic number, because the mean of its divisors is an integer number (5003340334).

Almost surely, 2^10006680667 is an apocalyptic number.

10006680667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006680667 is an equidigital number, since it uses as much as digits as its factorization.

10006680667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 10006680667 in words is "ten billion, six million, six hundred eighty thousand, six hundred sixty-seven".