33221689920 has 560 divisors, whose sum is σ = 124043407488. Its totient is φ = 8430428160.

The previous prime is 33221689889. The next prime is 33221689931. The reversal of 33221689920 is 2998612233.

It is a happy number.

33221689920 is a `hidden beast` number, since 332 + 216 + 89 + 9 + 20 = 666.

It is a super-2 number, since 2×33221689920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45696597 + ... + 45697323.

Almost surely, 2^33221689920 is an apocalyptic number.

33221689920 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 33221689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62021703744).

33221689920 is an abundant number, since it is smaller than the sum of its proper divisors (90821717568).

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

33221689920 is a wasteful number, since it uses less digits than its factorization.

33221689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 33221689920 in words is "thirty-three billion, two hundred twenty-one million, six hundred eighty-nine thousand, nine hundred twenty".