5632032000 has 864 divisors, whose sum is σ = 23493899520. Its totient is φ = 1169817600.

The previous prime is 5632031989. The next prime is 5632032013. The reversal of 5632032000 is 2302365.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194207986 + ... + 194208014.

Almost surely, 2^5632032000 is an apocalyptic number.

5632032000 is a gapful number since it is divisible by the number (50) 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 5632032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746949760).

5632032000 is an abundant number, since it is smaller than the sum of its proper divisors (17861867520).

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

5632032000 is a wasteful number, since it uses less digits than its factorization.

5632032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5632032000 is about 75046.8653575884. The cubic root of 5632032000 is about 1779.1874421159.

Adding to 5632032000 its reverse (2302365), we get a palindrome (5634334365).

The spelling of 5632032000 in words is "five billion, six hundred thirty-two million, thirty-two thousand".