10164262667 has 16 divisors (see below), whose sum is σ = 11528633760. Its totient is φ = 8883654912.

The previous prime is 10164262631. The next prime is 10164262697. The reversal of 10164262667 is 76626246101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10164262667 - 2¹⁸ = 10164000523 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10164262627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476903 + ... + 497759.

It is an arithmetic number, because the mean of its divisors is an integer number (720539610).

Almost surely, 2^10164262667 is an apocalyptic number.

10164262667 is a deficient number, since it is larger than the sum of its proper divisors (1364371093).

10164262667 is a wasteful number, since it uses less digits than its factorization.

10164262667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22862.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 10164262667 in words is "ten billion, one hundred sixty-four million, two hundred sixty-two thousand, six hundred sixty-seven".