33066764544 has 216 divisors, whose sum is σ = 99227582496. Its totient is φ = 9694617600.

The previous prime is 33066764537. The next prime is 33066764579. The reversal of 33066764544 is 44546766033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 33066764493 and 33066764502.

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 23 ways as a sum of consecutive naturals, for example, 8116492 + ... + 8120564.

It is an arithmetic number, because the mean of its divisors is an integer number (459386956).

Almost surely, 2^33066764544 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 33066764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49613791248).

33066764544 is an abundant number, since it is smaller than the sum of its proper divisors (66160817952).

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

33066764544 is a wasteful number, since it uses less digits than its factorization.

33066764544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 33066764544 in words is "thirty-three billion, sixty-six million, seven hundred sixty-four thousand, five hundred forty-four".