9647057952 has 288 divisors, whose sum is σ = 32384806272. Its totient is φ = 2666483712.

The previous prime is 9647057941. The next prime is 9647057999. The reversal of 9647057952 is 2597507469.

9647057952 is a `hidden beast` number, since 9 + 64 + 7 + 0 + 579 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 21109308 + ... + 21109764.

It is an arithmetic number, because the mean of its divisors is an integer number (112447244).

Almost surely, 2^9647057952 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 9647057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192403136).

9647057952 is an abundant number, since it is smaller than the sum of its proper divisors (22737748320).

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

9647057952 is a wasteful number, since it uses less digits than its factorization.

9647057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 9647057952 is about 98219.4377503761. The cubic root of 9647057952 is about 2128.7841556720.

The spelling of 9647057952 in words is "nine billion, six hundred forty-seven million, fifty-seven thousand, nine hundred fifty-two".