9795224736 has 288 divisors, whose sum is σ = 32146994880. Its totient is φ = 2797977600.

The previous prime is 9795224729. The next prime is 9795224737. The reversal of 9795224736 is 6374225979.

9795224736 is a `hidden beast` number, since 9 + 79 + 522 + 47 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9795224737) 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, 21247546 + ... + 21248006.

It is an arithmetic number, because the mean of its divisors is an integer number (111621510).

Almost surely, 2^9795224736 is an apocalyptic number.

9795224736 is a gapful number since it is divisible by the number (96) 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 9795224736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073497440).

9795224736 is an abundant number, since it is smaller than the sum of its proper divisors (22351770144).

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

9795224736 is a wasteful number, since it uses less digits than its factorization.

9795224736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 9795224736 is about 98970.8277019042. The cubic root of 9795224736 is about 2139.6273214824.

The spelling of 9795224736 in words is "nine billion, seven hundred ninety-five million, two hundred twenty-four thousand, seven hundred thirty-six".