9750566400 has 240 divisors, whose sum is σ = 33253490688. Its totient is φ = 2515968000.

The previous prime is 9750566363. The next prime is 9750566443. The reversal of 9750566400 is 46650579.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1186305 + ... + 1194495.

Almost surely, 2^9750566400 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 9750566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626745344).

9750566400 is an abundant number, since it is smaller than the sum of its proper divisors (23502924288).

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

9750566400 is a wasteful number, since it uses less digits than its factorization.

9750566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 9750566400 is about 98744.9563268930. The cubic root of 9750566400 is about 2136.3707081484.

The spelling of 9750566400 in words is "nine billion, seven hundred fifty million, five hundred sixty-six thousand, four hundred".