220457764800 has 2352 divisors, whose sum is σ = 1048727099392. Its totient is φ = 44341862400.

The previous prime is 220457764799. The next prime is 220457764843. The reversal of 220457764800 is 8467754022.

It is a happy number.

It is a super-2 number, since 2×220457764800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 3290414367 + ... + 3290414433.

Almost surely, 2^220457764800 is an apocalyptic number.

220457764800 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 220457764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524363549696).

220457764800 is an abundant number, since it is smaller than the sum of its proper divisors (828269334592).

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

220457764800 is a wasteful number, since it uses less digits than its factorization.

220457764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 220457764800 in words is "two hundred twenty billion, four hundred fifty-seven million, seven hundred sixty-four thousand, eight hundred".