33664552320 has 192 divisors, whose sum is σ = 124825417200. Its totient is φ = 7694733312.

The previous prime is 33664552309. The next prime is 33664552321. The reversal of 33664552320 is 2325546633.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×33664552320⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33664552321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84835 + ... + 272994.

Almost surely, 2^33664552320 is an apocalyptic number.

33664552320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33664552320 is an abundant number, since it is smaller than the sum of its proper divisors (91160864880).

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

33664552320 is a wasteful number, since it uses less digits than its factorization.

33664552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357865 (or 357846 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 33664552320 in words is "thirty-three billion, six hundred sixty-four million, five hundred fifty-two thousand, three hundred twenty".