220343772672 has 240 divisors, whose sum is σ = 654652956672. Its totient is φ = 71310274560.

The previous prime is 220343772643. The next prime is 220343772679. The reversal of 220343772672 is 276277343022.

220343772672 is a `hidden beast` number, since 2 + 203 + 4 + 377 + 2 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220343772679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27501147 + ... + 27509157.

Almost surely, 2^220343772672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220343772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327326478336).

220343772672 is an abundant number, since it is smaller than the sum of its proper divisors (434309184000).

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

220343772672 is a wasteful number, since it uses less digits than its factorization.

220343772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 220343772672 in words is "two hundred twenty billion, three hundred forty-three million, seven hundred seventy-two thousand, six hundred seventy-two".