33680393923968 has 3072 divisors, whose sum is σ = 125424333619200. Its totient is φ = 8851949568000.

The previous prime is 33680393923903. The next prime is 33680393923993. The reversal of 33680393923968 is 86932939308633.

33680393923968 is a `hidden beast` number, since 3 + 3 + 68 + 0 + 3 + 93 + 92 + 396 + 8 = 666.

It is a super-2 number, since 2×33680393923968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33680393923896 and 33680393923905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 474371745373 + ... + 474371745443.

It is an arithmetic number, because the mean of its divisors is an integer number (40828233600).

Almost surely, 2^{33680393923968} 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 33680393923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62712166809600).

33680393923968 is an abundant number, since it is smaller than the sum of its proper divisors (91743939695232).

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

33680393923968 is a wasteful number, since it uses less digits than its factorization.

33680393923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 72.

The spelling of 33680393923968 in words is "thirty-three trillion, six hundred eighty billion, three hundred ninety-three million, nine hundred twenty-three thousand, nine hundred sixty-eight".