9006045664 has 192 divisors, whose sum is σ = 23762833920. Its totient is φ = 3252142080.

The previous prime is 9006045649. The next prime is 9006045667. The reversal of 9006045664 is 4665406009.

It is a super-2 number, since 2×9006045664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006045667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2804892 + ... + 2808100.

It is an arithmetic number, because the mean of its divisors is an integer number (123764760).

Almost surely, 2^9006045664 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 9006045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11881416960).

9006045664 is an abundant number, since it is smaller than the sum of its proper divisors (14756788256).

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

9006045664 is a wasteful number, since it uses less digits than its factorization.

9006045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 9006045664 is about 94900.1879028698. The cubic root of 9006045664 is about 2080.5494776117.

The spelling of 9006045664 in words is "nine billion, six million, forty-five thousand, six hundred sixty-four".