33972773508 has 18 divisors (see below), whose sum is σ = 85875622014. Its totient is φ = 11324257824.

The previous prime is 33972773503. The next prime is 33972773537. The reversal of 33972773508 is 80537727933.

33972773508 is a `hidden beast` number, since 339 + 7 + 277 + 35 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31100027904 + 2872745604 = 176352^2 + 53598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (33972773501) 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 5 ways as a sum of consecutive naturals, for example, 471844041 + ... + 471844112.

Almost surely, 2^33972773508 is an apocalyptic number.

It is an amenable number.

33972773508 is an abundant number, since it is smaller than the sum of its proper divisors (51902848506).

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

33972773508 is a wasteful number, since it uses less digits than its factorization.

33972773508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943688163 (or 943688158 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 33972773508 in words is "thirty-three billion, nine hundred seventy-two million, seven hundred seventy-three thousand, five hundred eight".