10164772767 has 16 divisors (see below), whose sum is σ = 14178995712. Its totient is φ = 6470566080.

The previous prime is 10164772729. The next prime is 10164772769. The reversal of 10164772767 is 76727746101.

It is not a de Polignac number, because 10164772767 - 2¹⁸ = 10164510623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164772769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873373 + ... + 884934.

It is an arithmetic number, because the mean of its divisors is an integer number (886187232).

Almost surely, 2^10164772767 is an apocalyptic number.

10164772767 is a deficient number, since it is larger than the sum of its proper divisors (4014222945).

10164772767 is a wasteful number, since it uses less digits than its factorization.

10164772767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758398.

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 10164772767 in words is "ten billion, one hundred sixty-four million, seven hundred seventy-two thousand, seven hundred sixty-seven".