33713660772 has 144 divisors (see below), whose sum is σ = 99624313152. Its totient is φ = 9499299840.

The previous prime is 33713660741. The next prime is 33713660779. The reversal of 33713660772 is 27706631733.

33713660772 is a `hidden beast` number, since 3 + 3 + 7 + 1 + 36 + 607 + 7 + 2 = 666.

It is a super-2 number, since 2×33713660772² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33713660779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528588 + ... + 588924.

It is an arithmetic number, because the mean of its divisors is an integer number (691835508).

Almost surely, 2^33713660772 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 33713660772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49812156576).

33713660772 is an abundant number, since it is smaller than the sum of its proper divisors (65910652380).

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

33713660772 is a wasteful number, since it uses less digits than its factorization.

33713660772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60458 (or 60453 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The spelling of 33713660772 in words is "thirty-three billion, seven hundred thirteen million, six hundred sixty thousand, seven hundred seventy-two".