32730669440 has 128 divisors (see below), whose sum is σ = 89491046400. Its totient is φ = 11213641728.

The previous prime is 32730669403. The next prime is 32730669487. The reversal of 32730669440 is 4496603723.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 32730669391 and 32730669400.

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 15 ways as a sum of consecutive naturals, for example, 12036401 + ... + 12039119.

It is an arithmetic number, because the mean of its divisors is an integer number (699148800).

Almost surely, 2^32730669440 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 32730669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44745523200).

32730669440 is an abundant number, since it is smaller than the sum of its proper divisors (56760376960).

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

32730669440 is a wasteful number, since it uses less digits than its factorization.

32730669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 32730669440 in words is "thirty-two billion, seven hundred thirty million, six hundred sixty-nine thousand, four hundred forty".