33993935664 has 40 divisors (see below), whose sum is σ = 94572874032. Its totient is φ = 10459672320.

The previous prime is 33993935617. The next prime is 33993935693. The reversal of 33993935664 is 46653939933.

It is a happy number.

It is a super-2 number, since 2×33993935664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33993935598 and 33993935607.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27238107 + ... + 27239354.

Almost surely, 2^33993935664 is an apocalyptic number.

It is an amenable number.

33993935664 is an abundant number, since it is smaller than the sum of its proper divisors (60578938368).

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

33993935664 is a wasteful number, since it uses less digits than its factorization.

33993935664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54477485 (or 54477479 counting only the distinct ones).

The product of its digits is 42515280, while the sum is 60.

The spelling of 33993935664 in words is "thirty-three billion, nine hundred ninety-three million, nine hundred thirty-five thousand, six hundred sixty-four".