220724456420 has 96 divisors (see below), whose sum is σ = 505362480000. Its totient is φ = 80491843584.

The previous prime is 220724456387. The next prime is 220724456453. The reversal of 220724456420 is 24654427022.

It is an interprime number because it is at equal distance from previous prime (220724456387) and next prime (220724456453).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12576011 + ... + 12593549.

It is an arithmetic number, because the mean of its divisors is an integer number (5264192500).

Almost surely, 2^220724456420 is an apocalyptic number.

220724456420 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 220724456420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252681240000).

220724456420 is an abundant number, since it is smaller than the sum of its proper divisors (284638023580).

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

220724456420 is a wasteful number, since it uses less digits than its factorization.

220724456420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18157 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 38.

The spelling of 220724456420 in words is "two hundred twenty billion, seven hundred twenty-four million, four hundred fifty-six thousand, four hundred twenty".