9634945536 has 120 divisors (see below), whose sum is σ = 27995724900. Its totient is φ = 3189866496.

The previous prime is 9634945513. The next prime is 9634945553. The reversal of 9634945536 is 6355494369.

9634945536 is a `hidden beast` number, since 9 + 63 + 4 + 9 + 45 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7911035136 + 1723910400 = 88944^2 + 41520^2 .

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 11 ways as a sum of consecutive naturals, for example, 679576 + ... + 693608.

Almost surely, 2^9634945536 is an apocalyptic number.

9634945536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9634945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997862450).

9634945536 is an abundant number, since it is smaller than the sum of its proper divisors (18360779364).

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

9634945536 is a wasteful number, since it uses less digits than its factorization.

9634945536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206 (or 14187 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 9634945536 is about 98157.7584096132. The cubic root of 9634945536 is about 2127.8928470364.

The spelling of 9634945536 in words is "nine billion, six hundred thirty-four million, nine hundred forty-five thousand, five hundred thirty-six".