32734821504 has 512 divisors, whose sum is σ = 113706270720. Its totient is φ = 8096256000.

The previous prime is 32734821451. The next prime is 32734821523. The reversal of 32734821504 is 40512843723.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65078917 + ... + 65079419.

It is an arithmetic number, because the mean of its divisors is an integer number (222082560).

Almost surely, 2^32734821504 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 32734821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56853135360).

32734821504 is an abundant number, since it is smaller than the sum of its proper divisors (80971449216).

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

32734821504 is a wasteful number, since it uses less digits than its factorization.

32734821504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 32734821504 in words is "thirty-two billion, seven hundred thirty-four million, eight hundred twenty-one thousand, five hundred four".