9632528640 has 576 divisors, whose sum is σ = 40441766400. Its totient is φ = 2124251136.

The previous prime is 9632528579. The next prime is 9632528657. The reversal of 9632528640 is 468252369.

9632528640 is a `hidden beast` number, since 9 + 6 + 325 + 286 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 7014994 + ... + 7016366.

It is an arithmetic number, because the mean of its divisors is an integer number (70211400).

Almost surely, 2^9632528640 is an apocalyptic number.

9632528640 is a gapful number since it is divisible by the number (90) 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 9632528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220883200).

9632528640 is an abundant number, since it is smaller than the sum of its proper divisors (30809237760).

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

9632528640 is a wasteful number, since it uses less digits than its factorization.

9632528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9632528640 is about 98145.4463538681. The cubic root of 9632528640 is about 2127.7149070650.

The spelling of 9632528640 in words is "nine billion, six hundred thirty-two million, five hundred twenty-eight thousand, six hundred forty".