9328561632 has 288 divisors, whose sum is σ = 30512401920. Its totient is φ = 2679505920.

The previous prime is 9328561609. The next prime is 9328561663. The reversal of 9328561632 is 2361658239.

9328561632 is a `hidden beast` number, since 9 + 3 + 2 + 8 + 5 + 6 + 1 + 632 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 5049733 + ... + 5051579.

It is an arithmetic number, because the mean of its divisors is an integer number (105945840).

Almost surely, 2^9328561632 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 9328561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256200960).

9328561632 is an abundant number, since it is smaller than the sum of its proper divisors (21183840288).

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

9328561632 is a wasteful number, since it uses less digits than its factorization.

9328561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 9328561632 is about 96584.4792500327. The cubic root of 9328561632 is about 2105.0943311315.

The spelling of 9328561632 in words is "nine billion, three hundred twenty-eight million, five hundred sixty-one thousand, six hundred thirty-two".