9050832000 has 1024 divisors, whose sum is σ = 39563596800. Its totient is φ = 1990656000.

The previous prime is 9050831987. The next prime is 9050832023. The reversal of 9050832000 is 2380509.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123983964 + ... + 123984036.

It is an arithmetic number, because the mean of its divisors is an integer number (38636325).

Almost surely, 2^9050832000 is an apocalyptic number.

9050832000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9050832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19781798400).

9050832000 is an abundant number, since it is smaller than the sum of its proper divisors (30512764800).

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

9050832000 is a wasteful number, since it uses less digits than its factorization.

9050832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9050832000 is about 95135.8607466186. The cubic root of 9050832000 is about 2083.9925778573.

The spelling of 9050832000 in words is "nine billion, fifty million, eight hundred thirty-two thousand".