32268160800 has 486 divisors, whose sum is σ = 119480964057. Its totient is φ = 8194314240.

The previous prime is 32268160789. The next prime is 32268160801. The reversal of 32268160800 is 806186223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 79495056 + 32188665744 = 8916^2 + 179412^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=127020.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32268160801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 442029564 + ... + 442029636.

Almost surely, 2^32268160800 is an apocalyptic number.

32268160800 is a gapful number since it is divisible by the number (30) 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 32268160800

32268160800 is an abundant number, since it is smaller than the sum of its proper divisors (87212803257).

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

32268160800 is a wasteful number, since it uses less digits than its factorization.

32268160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32268160800 in words is "thirty-two billion, two hundred sixty-eight million, one hundred sixty thousand, eight hundred".