9005727744 has 448 divisors, whose sum is σ = 30084497100. Its totient is φ = 2675441664.

The previous prime is 9005727707. The next prime is 9005727751. The reversal of 9005727744 is 4477275009.

9005727744 is a `hidden beast` number, since 9 + 0 + 0 + 572 + 7 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8707129344 + 298598400 = 93312^2 + 17280^2 .

It is a super-2 number, since 2×9005727744² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9005727744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 310542322 + ... + 310542350.

Almost surely, 2^9005727744 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 9005727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042248550).

9005727744 is an abundant number, since it is smaller than the sum of its proper divisors (21078769356).

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

9005727744 is an frugal number, since it uses more digits than its factorization.

9005727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 9005727744 is about 94898.5128650602. The cubic root of 9005727744 is about 2080.5249956841.

The spelling of 9005727744 in words is "nine billion, five million, seven hundred twenty-seven thousand, seven hundred forty-four".