9025801824 has 192 divisors, whose sum is σ = 26451532800. Its totient is φ = 2676989952.

The previous prime is 9025801817. The next prime is 9025801847. The reversal of 9025801824 is 4281085209.

9025801824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9025801824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4238392 + ... + 4240520.

It is an arithmetic number, because the mean of its divisors is an integer number (137768400).

Almost surely, 2^9025801824 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 9025801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225766400).

9025801824 is an abundant number, since it is smaller than the sum of its proper divisors (17425730976).

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

9025801824 is a wasteful number, since it uses less digits than its factorization.

9025801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 9025801824 is about 95004.2200325859. The cubic root of 9025801824 is about 2082.0697026811.

The spelling of 9025801824 in words is "nine billion, twenty-five million, eight hundred one thousand, eight hundred twenty-four".