10006666667 has 16 divisors (see below), whose sum is σ = 10744786080. Its totient is φ = 9285622272.

The previous prime is 10006666651. The next prime is 10006666723. The reversal of 10006666667 is 76666660001.

It is a cyclic number.

It is not a de Polignac number, because 10006666667 - 2⁴ = 10006666651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006666627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711233 + ... + 725165.

It is an arithmetic number, because the mean of its divisors is an integer number (671549130).

Almost surely, 2^10006666667 is an apocalyptic number.

10006666667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10006666667 is a deficient number, since it is larger than the sum of its proper divisors (738119413).

10006666667 is a wasteful number, since it uses less digits than its factorization.

10006666667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542.

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 10006666667 in words is "ten billion, six million, six hundred sixty-six thousand, six hundred sixty-seven".