33022970752 has 128 divisors (see below), whose sum is σ = 68720256000. Its totient is φ = 15795247104.

The previous prime is 33022970723. The next prime is 33022970759. The reversal of 33022970752 is 25707922033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33022970759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75222949 + ... + 75223387.

It is an arithmetic number, because the mean of its divisors is an integer number (536877000).

Almost surely, 2^33022970752 is an apocalyptic number.

33022970752 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 33022970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34360128000).

33022970752 is an abundant number, since it is smaller than the sum of its proper divisors (35697285248).

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

33022970752 is a wasteful number, since it uses less digits than its factorization.

33022970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 33022970752 in words is "thirty-three billion, twenty-two million, nine hundred seventy thousand, seven hundred fifty-two".