32789438976 has 400 divisors, whose sum is σ = 108106678944. Its totient is φ = 8800468992.

The previous prime is 32789438909. The next prime is 32789438987. The reversal of 32789438976 is 67983498723.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62694651 + ... + 62695173.

Almost surely, 2^32789438976 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 32789438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54053339472).

32789438976 is an abundant number, since it is smaller than the sum of its proper divisors (75317239968).

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

32789438976 is an frugal number, since it uses more digits than its factorization.

32789438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 552 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 32789438976 in words is "thirty-two billion, seven hundred eighty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".