33605142768 has 120 divisors (see below), whose sum is σ = 99639493200. Its totient is φ = 10536486912.

The previous prime is 33605142761. The next prime is 33605142793. The reversal of 33605142768 is 86724150633.

33605142768 is a `hidden beast` number, since 3 + 3 + 60 + 514 + 2 + 76 + 8 = 666.

It is a super-2 number, since 2×33605142768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33605142761) 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 23 ways as a sum of consecutive naturals, for example, 5722938 + ... + 5728806.

It is an arithmetic number, because the mean of its divisors is an integer number (830329110).

Almost surely, 2^33605142768 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 33605142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49819746600).

33605142768 is an abundant number, since it is smaller than the sum of its proper divisors (66034350432).

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

33605142768 is a wasteful number, since it uses less digits than its factorization.

33605142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 33605142768 in words is "thirty-three billion, six hundred five million, one hundred forty-two thousand, seven hundred sixty-eight".