33052440564 has 144 divisors (see below), whose sum is σ = 98274443904. Its totient is φ = 9234259200.

The previous prime is 33052440497. The next prime is 33052440569. The reversal of 33052440564 is 46504425033.

33052440564 is a `hidden beast` number, since 3 + 3 + 0 + 52 + 4 + 40 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33052440569) by changing a digit.

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, 4840857 + ... + 4847679.

It is an arithmetic number, because the mean of its divisors is an integer number (682461416).

Almost surely, 2^33052440564 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 33052440564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49137221952).

33052440564 is an abundant number, since it is smaller than the sum of its proper divisors (65222003340).

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

33052440564 is a wasteful number, since it uses less digits than its factorization.

33052440564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 33052440564 its reverse (46504425033), we get a palindrome (79556865597).

The spelling of 33052440564 in words is "thirty-three billion, fifty-two million, four hundred forty thousand, five hundred sixty-four".