9844252704 has 504 divisors, whose sum is σ = 34476874992. Its totient is φ = 2741506560.

The previous prime is 9844252673. The next prime is 9844252729. The reversal of 9844252704 is 4072524489.

9844252704 is a `hidden beast` number, since 9 + 84 + 42 + 527 + 0 + 4 = 666.

It is a super-2 number, since 2×9844252704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9844252704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43366639 + ... + 43366865.

It is an arithmetic number, because the mean of its divisors is an integer number (68406498).

Almost surely, 2^9844252704 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 9844252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238437496).

9844252704 is an abundant number, since it is smaller than the sum of its proper divisors (24632622288).

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

9844252704 is a wasteful number, since it uses less digits than its factorization.

9844252704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 9844252704 is about 99218.2075226115. The cubic root of 9844252704 is about 2143.1912024107.

The spelling of 9844252704 in words is "nine billion, eight hundred forty-four million, two hundred fifty-two thousand, seven hundred four".