33968862720 has 960 divisors, whose sum is σ = 137271214080. Its totient is φ = 7691894784.

The previous prime is 33968862671. The next prime is 33968862743. The reversal of 33968862720 is 2726886933.

It is a happy number.

33968862720 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 8 + 8 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 267471297 + ... + 267471423.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 2^33968862720 is an apocalyptic number.

33968862720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33968862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68635607040).

33968862720 is an abundant number, since it is smaller than the sum of its proper divisors (103302351360).

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

33968862720 is a wasteful number, since it uses less digits than its factorization.

33968862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 33968862720 in words is "thirty-three billion, nine hundred sixty-eight million, eight hundred sixty-two thousand, seven hundred twenty".