33204762906 has 64 divisors (see below), whose sum is σ = 77860258560. Its totient is φ = 9242288640.

The previous prime is 33204762901. The next prime is 33204762923. The reversal of 33204762906 is 60926740233.

It is a super-2 number, since 2×33204762906² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (33204762901) 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 31 ways as a sum of consecutive naturals, for example, 1207300 + ... + 1234496.

It is an arithmetic number, because the mean of its divisors is an integer number (1216566540).

Almost surely, 2^33204762906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33204762906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38930129280).

33204762906 is an abundant number, since it is smaller than the sum of its proper divisors (44655495654).

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

33204762906 is a wasteful number, since it uses less digits than its factorization.

33204762906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27959.

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 33204762906 in words is "thirty-three billion, two hundred four million, seven hundred sixty-two thousand, nine hundred six".