4032322560 has 528 divisors, whose sum is σ = 16595045376. Its totient is φ = 919683072.

The previous prime is 4032322543. The next prime is 4032322561. The reversal of 4032322560 is 652232304.

4032322560 is a `hidden beast` number, since 40 + 32 + 32 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032322561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708889 + ... + 8709351.

Almost surely, 2^4032322560 is an apocalyptic number.

4032322560 is a gapful number since it is divisible by the number (40) 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 4032322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297522688).

4032322560 is an abundant number, since it is smaller than the sum of its proper divisors (12562722816).

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

4032322560 is an equidigital number, since it uses as much as digits as its factorization.

4032322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4032322560 is about 63500.5713360124. The cubic root of 4032322560 is about 1591.6653253037.

Adding to 4032322560 its reverse (652232304), we get a palindrome (4684554864).

The spelling of 4032322560 in words is "four billion, thirty-two million, three hundred twenty-two thousand, five hundred sixty".