9009624768 has 224 divisors, whose sum is σ = 25758867456. Its totient is φ = 2772329472.

The previous prime is 9009624761. The next prime is 9009624781. The reversal of 9009624768 is 8674269009.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9009624768.

It is not an unprimeable number, because it can be changed into a prime (9009624761) 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, 17226555 + ... + 17227077.

It is an arithmetic number, because the mean of its divisors is an integer number (114994944).

Almost surely, 2^9009624768 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 9009624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879433728).

9009624768 is an abundant number, since it is smaller than the sum of its proper divisors (16749242688).

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

9009624768 is a wasteful number, since it uses less digits than its factorization.

9009624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 9009624768 is about 94919.0432315876. The cubic root of 9009624768 is about 2080.8250523760.

The spelling of 9009624768 in words is "nine billion, nine million, six hundred twenty-four thousand, seven hundred sixty-eight".