33668296704 has 780 divisors, whose sum is σ = 124285319400. Its totient is φ = 9029615616.

The previous prime is 33668296703. The next prime is 33668296757. The reversal of 33668296704 is 40769286633.

It is a super-2 number, since 2×33668296704² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668296703) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308883402 + ... + 308883510.

Almost surely, 2^33668296704 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 33668296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62142659700).

33668296704 is an abundant number, since it is smaller than the sum of its proper divisors (90617022696).

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

33668296704 is a wasteful number, since it uses less digits than its factorization.

33668296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 33668296704 in words is "thirty-three billion, six hundred sixty-eight million, two hundred ninety-six thousand, seven hundred four".