10666838767 has 16 divisors (see below), whose sum is σ = 11659475520. Its totient is φ = 9699132672.

The previous prime is 10666838737. The next prime is 10666838789. The reversal of 10666838767 is 76783866601.

It is a cyclic number.

It is not a de Polignac number, because 10666838767 - 2¹⁵ = 10666805999 is a prime.

It is a super-2 number, since 2×10666838767² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666838737) 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, 789513 + ... + 802909.

It is an arithmetic number, because the mean of its divisors is an integer number (728717220).

Almost surely, 2^10666838767 is an apocalyptic number.

10666838767 is a deficient number, since it is larger than the sum of its proper divisors (992636753).

10666838767 is a wasteful number, since it uses less digits than its factorization.

10666838767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322.

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 10666838767 in words is "ten billion, six hundred sixty-six million, eight hundred thirty-eight thousand, seven hundred sixty-seven".