220425708672 has 1024 divisors, whose sum is σ = 784143360000. Its totient is φ = 60304932864.

The previous prime is 220425708647. The next prime is 220425708673. The reversal of 220425708672 is 276807524022.

220425708672 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 2 + 570 + 8 + 6 + 72 = 666.

220425708672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220425708673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2022254154 + ... + 2022254262.

It is an arithmetic number, because the mean of its divisors is an integer number (765765000).

Almost surely, 2^220425708672 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 220425708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392071680000).

220425708672 is an abundant number, since it is smaller than the sum of its proper divisors (563717651328).

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

220425708672 is a wasteful number, since it uses less digits than its factorization.

220425708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

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

The spelling of 220425708672 in words is "two hundred twenty billion, four hundred twenty-five million, seven hundred eight thousand, six hundred seventy-two".