33220212480 has 1080 divisors, whose sum is σ = 149207601312. Its totient is φ = 6995165184.

The previous prime is 33220212461. The next prime is 33220212521. The reversal of 33220212480 is 8421202233.

33220212480 is a `hidden beast` number, since 332 + 202 + 124 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×33220212480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66043909 + ... + 66044411.

Almost surely, 2^33220212480 is an apocalyptic number.

33220212480 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 33220212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74603800656).

33220212480 is an abundant number, since it is smaller than the sum of its proper divisors (115987388832).

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

33220212480 is a wasteful number, since it uses less digits than its factorization.

33220212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 33220212480 in words is "thirty-three billion, two hundred twenty million, two hundred twelve thousand, four hundred eighty".