9200504768 has 112 divisors (see below), whose sum is σ = 22579974144. Its totient is φ = 3622026240.

The previous prime is 9200504743. The next prime is 9200504779. The reversal of 9200504768 is 8674050029.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225121 + ... + 1232607.

It is an arithmetic number, because the mean of its divisors is an integer number (201606912).

Almost surely, 2^9200504768 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 9200504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289987072).

9200504768 is an abundant number, since it is smaller than the sum of its proper divisors (13379469376).

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

9200504768 is a wasteful number, since it uses less digits than its factorization.

9200504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 9200504768 is about 95919.2617152572. The cubic root of 9200504768 is about 2095.4174273932.

The spelling of 9200504768 in words is "nine billion, two hundred million, five hundred four thousand, seven hundred sixty-eight".