32320561104 has 240 divisors, whose sum is σ = 99400304640. Its totient is φ = 9743016960.

The previous prime is 32320561099. The next prime is 32320561127. The reversal of 32320561104 is 40116502323.

32320561104 is a `hidden beast` number, since 3 + 23 + 20 + 5 + 611 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43735167 + ... + 43735905.

It is an arithmetic number, because the mean of its divisors is an integer number (414167936).

Almost surely, 2^32320561104 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 32320561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49700152320).

32320561104 is an abundant number, since it is smaller than the sum of its proper divisors (67079743536).

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

32320561104 is a wasteful number, since it uses less digits than its factorization.

32320561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 32320561104 in words is "thirty-two billion, three hundred twenty million, five hundred sixty-one thousand, one hundred four".