10032856704 has 288 divisors, whose sum is σ = 32358444300. Its totient is φ = 2978906112.

The previous prime is 10032856679. The next prime is 10032856723. The reversal of 10032856704 is 40765823001.

It can be written as a sum of positive squares in 6 ways, for example, as 1596801600 + 8436055104 = 39960^2 + 91848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 5645064 + ... + 5646840.

Almost surely, 2^10032856704 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 10032856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179222150).

10032856704 is an abundant number, since it is smaller than the sum of its proper divisors (22325587596).

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

10032856704 is a wasteful number, since it uses less digits than its factorization.

10032856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10032856704 in words is "ten billion, thirty-two million, eight hundred fifty-six thousand, seven hundred four".