10164027864 has 128 divisors (see below), whose sum is σ = 27564364800. Its totient is φ = 3110983680.

The previous prime is 10164027857. The next prime is 10164027871. The reversal of 10164027864 is 46872046101.

10164027864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10164027857) and next prime (10164027871).

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 8072467 + ... + 8073725.

It is an arithmetic number, because the mean of its divisors is an integer number (215346600).

Almost surely, 2^10164027864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164027864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782182400).

10164027864 is an abundant number, since it is smaller than the sum of its proper divisors (17400336936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10164027864 is a wasteful number, since it uses less digits than its factorization.

10164027864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10164027864 in words is "ten billion, one hundred sixty-four million, twenty-seven thousand, eight hundred sixty-four".