32093432320 has 320 divisors, whose sum is σ = 85912358400. Its totient is φ = 11441274880.

The previous prime is 32093432317. The next prime is 32093432333. The reversal of 32093432320 is 2323439023.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 74462505 + ... + 74462935.

It is an arithmetic number, because the mean of its divisors is an integer number (268476120).

Almost surely, 2^32093432320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32093432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42956179200).

32093432320 is an abundant number, since it is smaller than the sum of its proper divisors (53818926080).

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

32093432320 is a wasteful number, since it uses less digits than its factorization.

32093432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

The spelling of 32093432320 in words is "thirty-two billion, ninety-three million, four hundred thirty-two thousand, three hundred twenty".