10326831264 has 144 divisors (see below), whose sum is σ = 30697325568. Its totient is φ = 3414845952.

The previous prime is 10326831247. The next prime is 10326831287. The reversal of 10326831264 is 46213862301.

10326831264 is a `hidden beast` number, since 10 + 326 + 8 + 312 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982324 + ... + 992780.

It is an arithmetic number, because the mean of its divisors is an integer number (213175872).

Almost surely, 2^10326831264 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 10326831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348662784).

10326831264 is an abundant number, since it is smaller than the sum of its proper divisors (20370494304).

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

10326831264 is a wasteful number, since it uses less digits than its factorization.

10326831264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10589 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10326831264 in words is "ten billion, three hundred twenty-six million, eight hundred thirty-one thousand, two hundred sixty-four".