33132836672 has 84 divisors (see below), whose sum is σ = 71827240140. Its totient is φ = 15156191232.

The previous prime is 33132836663. The next prime is 33132836687. The reversal of 33132836672 is 27663823133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17631590656 + 15501246016 = 132784^2 + 124504^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1208654 + ... + 1235762.

Almost surely, 2^33132836672 is an apocalyptic number.

33132836672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35913620070).

33132836672 is an abundant number, since it is smaller than the sum of its proper divisors (38694403468).

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

33132836672 is a wasteful number, since it uses less digits than its factorization.

33132836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27260 (or 27237 counting only the distinct ones).

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

The spelling of 33132836672 in words is "thirty-three billion, one hundred thirty-two million, eight hundred thirty-six thousand, six hundred seventy-two".