220807627720 has 64 divisors (see below), whose sum is σ = 518800101120. Its totient is φ = 84420635904.

The previous prime is 220807627681. The next prime is 220807627763. The reversal of 220807627720 is 27726708022.

It is a happy number.

220807627720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220807627720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169854 + ... + 1345426.

It is an arithmetic number, because the mean of its divisors is an integer number (8106251580).

Almost surely, 2^220807627720 is an apocalyptic number.

220807627720 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 220807627720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259400050560).

220807627720 is an abundant number, since it is smaller than the sum of its proper divisors (297992473400).

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

220807627720 is a wasteful number, since it uses less digits than its factorization.

220807627720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176974 (or 176970 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 220807627720 in words is "two hundred twenty billion, eight hundred seven million, six hundred twenty-seven thousand, seven hundred twenty".