9005068800 has 720 divisors, whose sum is σ = 39709750080. Its totient is φ = 1897758720.

The previous prime is 9005068789. The next prime is 9005068837. The reversal of 9005068800 is 88605009.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10482771 + ... + 10483629.

Almost surely, 2^9005068800 is an apocalyptic number.

9005068800 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 9005068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854875040).

9005068800 is an abundant number, since it is smaller than the sum of its proper divisors (30704681280).

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

9005068800 is a wasteful number, since it uses less digits than its factorization.

9005068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9005068800 is about 94895.0409663224. The cubic root of 9005068800 is about 2080.4742508345.

The spelling of 9005068800 in words is "nine billion, five million, sixty-eight thousand, eight hundred".