33725335968 has 72 divisors (see below), whose sum is σ = 96786389700. Its totient is φ = 11138632704.

The previous prime is 33725335957. The next prime is 33725335993. The reversal of 33725335968 is 86953352733.

It is a happy number.

33725335968 is a `hidden beast` number, since 3 + 37 + 253 + 359 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29574368784 + 4150967184 = 171972^2 + 64428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33725335968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 505773 + ... + 568556.

Almost surely, 2^33725335968 is an apocalyptic number.

It is an amenable number.

33725335968 is an abundant number, since it is smaller than the sum of its proper divisors (63061053732).

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

33725335968 is a wasteful number, since it uses less digits than its factorization.

33725335968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074454 (or 1074443 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 33725335968 in words is "thirty-three billion, seven hundred twenty-five million, three hundred thirty-five thousand, nine hundred sixty-eight".