9835573968 has 240 divisors, whose sum is σ = 30929895360. Its totient is φ = 2891827200.

The previous prime is 9835573933. The next prime is 9835573987. The reversal of 9835573968 is 8693755389.

9835573968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17469655 + ... + 17470217.

It is an arithmetic number, because the mean of its divisors is an integer number (128874564).

Almost surely, 2^9835573968 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 9835573968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464947680).

9835573968 is an abundant number, since it is smaller than the sum of its proper divisors (21094321392).

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

9835573968 is a wasteful number, since it uses less digits than its factorization.

9835573968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The square root of 9835573968 is about 99174.4622773423. The cubic root of 9835573968 is about 2142.5612016754.

The spelling of 9835573968 in words is "nine billion, eight hundred thirty-five million, five hundred seventy-three thousand, nine hundred sixty-eight".