9750009984 has 256 divisors, whose sum is σ = 30583647360. Its totient is φ = 2713190400.

The previous prime is 9750009959. The next prime is 9750009991. The reversal of 9750009984 is 4899000579.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 15210304 + ... + 15210944.

Almost surely, 2^9750009984 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 9750009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291823680).

9750009984 is an abundant number, since it is smaller than the sum of its proper divisors (20833637376).

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

9750009984 is a wasteful number, since it uses less digits than its factorization.

9750009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 9750009984 is about 98742.1388465938. The cubic root of 9750009984 is about 2136.3300700491.

The spelling of 9750009984 in words is "nine billion, seven hundred fifty million, nine thousand, nine hundred eighty-four".