9006084934560 has 2304 divisors, whose sum is σ = 39743790428160. Its totient is φ = 1880094965760.

The previous prime is 9006084934547. The next prime is 9006084934619. The reversal of 9006084934560 is 654394806009.

9006084934560 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 0 + 8 + 49 + 34 + 560 = 666.

It is a super-2 number, since 2×9006084934560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9006084934497 and 9006084934506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22685352282 + ... + 22685352678.

It is an arithmetic number, because the mean of its divisors is an integer number (17249909040).

Almost surely, 2^{9006084934560} is an apocalyptic number.

9006084934560 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 9006084934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871895214080).

9006084934560 is an abundant number, since it is smaller than the sum of its proper divisors (30737705493600).

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

9006084934560 is a wasteful number, since it uses less digits than its factorization.

9006084934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9006084934560 in words is "nine trillion, six billion, eighty-four million, nine hundred thirty-four thousand, five hundred sixty".