33774066768 has 160 divisors (see below), whose sum is σ = 97343769600. Its totient is φ = 10018971648.

The previous prime is 33774066763. The next prime is 33774066769. The reversal of 33774066768 is 86766047733.

It is a super-2 number, since 2×33774066768² (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 (33774066763) 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, 23469793 + ... + 23471231.

It is an arithmetic number, because the mean of its divisors is an integer number (608398560).

Almost surely, 2^33774066768 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 33774066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48671884800).

33774066768 is an abundant number, since it is smaller than the sum of its proper divisors (63569702832).

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

33774066768 is a wasteful number, since it uses less digits than its factorization.

33774066768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 33774066768 in words is "thirty-three billion, seven hundred seventy-four million, sixty-six thousand, seven hundred sixty-eight".