33206972832 has 432 divisors, whose sum is σ = 109170996480. Its totient is φ = 9554688000.

The previous prime is 33206972807. The next prime is 33206972837. The reversal of 33206972832 is 23827960233.

It is a super-2 number, since 2×33206972832² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33206972837) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63736732 + ... + 63737252.

It is an arithmetic number, because the mean of its divisors is an integer number (252710640).

Almost surely, 2^33206972832 is an apocalyptic number.

33206972832 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 33206972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585498240).

33206972832 is an abundant number, since it is smaller than the sum of its proper divisors (75964023648).

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

33206972832 is a wasteful number, since it uses less digits than its factorization.

33206972832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 33206972832 in words is "thirty-three billion, two hundred six million, nine hundred seventy-two thousand, eight hundred thirty-two".