32243260896 has 384 divisors, whose sum is σ = 118313395200. Its totient is φ = 8298823680.

The previous prime is 32243260891. The next prime is 32243260937. The reversal of 32243260896 is 69806234223.

It is a happy number.

32243260896 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 32 + 608 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32243260891) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7515520 + ... + 7519808.

It is an arithmetic number, because the mean of its divisors is an integer number (308107800).

Almost surely, 2^32243260896 is an apocalyptic number.

32243260896 is a gapful number since it is divisible by the number (36) 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 32243260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59156697600).

32243260896 is an abundant number, since it is smaller than the sum of its proper divisors (86070134304).

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

32243260896 is a wasteful number, since it uses less digits than its factorization.

32243260896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 32243260896 in words is "thirty-two billion, two hundred forty-three million, two hundred sixty thousand, eight hundred ninety-six".