9008490000 has 200 divisors, whose sum is σ = 29703991680. Its totient is φ = 2350784000.

The previous prime is 9008489999. The next prime is 9008490019. The reversal of 9008490000 is 948009.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 9008490000.

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 39 ways as a sum of consecutive naturals, for example, 1406806 + ... + 1413194.

Almost surely, 2^9008490000 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 9008490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851995840).

9008490000 is an abundant number, since it is smaller than the sum of its proper divisors (20695501680).

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

9008490000 is a wasteful number, since it uses less digits than its factorization.

9008490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9008490000 is about 94913.0654862649. The cubic root of 9008490000 is about 2080.7376882928.

The spelling of 9008490000 in words is "nine billion, eight million, four hundred ninety thousand".