9409049568 has 288 divisors, whose sum is σ = 29889699840. Its totient is φ = 2793738240.

The previous prime is 9409049563. The next prime is 9409049579. The reversal of 9409049568 is 8659409049.

9409049568 is a `hidden beast` number, since 9 + 4 + 0 + 90 + 495 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9409049563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7132813 + ... + 7134131.

It is an arithmetic number, because the mean of its divisors is an integer number (103783680).

Almost surely, 2^9409049568 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 9409049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

9409049568 is an abundant number, since it is smaller than the sum of its proper divisors (20480650272).

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

9409049568 is a wasteful number, since it uses less digits than its factorization.

9409049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9409049568 is about 97000.2555048181. The cubic root of 9409049568 is about 2111.1313361222.

The spelling of 9409049568 in words is "nine billion, four hundred nine million, forty-nine thousand, five hundred sixty-eight".