9004742208 has 336 divisors, whose sum is σ = 33293669760. Its totient is φ = 2257920000.

The previous prime is 9004742161. The next prime is 9004742221. The reversal of 9004742208 is 8022474009.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1282708 + ... + 1289708.

Almost surely, 2^9004742208 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 9004742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646834880).

9004742208 is an abundant number, since it is smaller than the sum of its proper divisors (24288927552).

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

9004742208 is a wasteful number, since it uses less digits than its factorization.

9004742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9004742208 is about 94893.3201442546. The cubic root of 9004742208 is about 2080.4490992791.

The spelling of 9004742208 in words is "nine billion, four million, seven hundred forty-two thousand, two hundred eight".