33220066320 has 480 divisors, whose sum is σ = 131265598464. Its totient is φ = 7370956800.

The previous prime is 33220066301. The next prime is 33220066339. The reversal of 33220066320 is 2366002233.

33220066320 is a `hidden beast` number, since 3 + 3 + 2 + 20 + 0 + 6 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33220066301) and next prime (33220066339).

It is a super-2 number, since 2×33220066320² (a number of 22 digits) contains 22 as substring.

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, 77076505 + ... + 77076935.

Almost surely, 2^33220066320 is an apocalyptic number.

33220066320 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 33220066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65632799232).

33220066320 is an abundant number, since it is smaller than the sum of its proper divisors (98045532144).

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

33220066320 is a wasteful number, since it uses less digits than its factorization.

33220066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33220066320 its reverse (2366002233), we get a palindrome (35586068553).

The spelling of 33220066320 in words is "thirty-three billion, two hundred twenty million, sixty-six thousand, three hundred twenty".