10432574304 has 96 divisors (see below), whose sum is σ = 27746984160. Its totient is φ = 3431780352.

The previous prime is 10432574281. The next prime is 10432574323. The reversal of 10432574304 is 40347523401.

10432574304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 6467002 + ... + 6468614.

It is an arithmetic number, because the mean of its divisors is an integer number (289031085).

Almost surely, 2^10432574304 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 10432574304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873492080).

10432574304 is an abundant number, since it is smaller than the sum of its proper divisors (17314409856).

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

10432574304 is a wasteful number, since it uses less digits than its factorization.

10432574304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 10432574304 in words is "ten billion, four hundred thirty-two million, five hundred seventy-four thousand, three hundred four".