9505968384 has 144 divisors (see below), whose sum is σ = 27715855104. Its totient is φ = 2868480000.

The previous prime is 9505968361. The next prime is 9505968401. The reversal of 9505968384 is 4838695059.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118207 + ... + 2122689.

It is an arithmetic number, because the mean of its divisors is an integer number (192471216).

Almost surely, 2^9505968384 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 9505968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857927552).

9505968384 is an abundant number, since it is smaller than the sum of its proper divisors (18209886720).

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

9505968384 is a wasteful number, since it uses less digits than its factorization.

9505968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The square root of 9505968384 is about 97498.5558046887. Note that the first 3 decimals coincide. The cubic root of 9505968384 is about 2118.3552259744.

The spelling of 9505968384 in words is "nine billion, five hundred five million, nine hundred sixty-eight thousand, three hundred eighty-four".