220324936320 has 384 divisors, whose sum is σ = 803702390400. Its totient is φ = 55462993920.

The previous prime is 220324936303. The next prime is 220324936327. The reversal of 220324936320 is 23639423022.

It is a happy number.

220324936320 is a `hidden beast` number, since 2 + 2 + 0 + 324 + 9 + 3 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220324936327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32062485 + ... + 32069355.

It is an arithmetic number, because the mean of its divisors is an integer number (2092974975).

Almost surely, 2^220324936320 is an apocalyptic number.

220324936320 is a gapful number since it is divisible by the number (20) 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 220324936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401851195200).

220324936320 is an abundant number, since it is smaller than the sum of its proper divisors (583377454080).

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

220324936320 is a wasteful number, since it uses less digits than its factorization.

220324936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 220324936320 in words is "two hundred twenty billion, three hundred twenty-four million, nine hundred thirty-six thousand, three hundred twenty".