220757434680 has 128 divisors (see below), whose sum is σ = 665789414400. Its totient is φ = 58556736000.

The previous prime is 220757434627. The next prime is 220757434687. The reversal of 220757434680 is 86434757022.

220757434680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220757434687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21425530 + ... + 21435830.

It is an arithmetic number, because the mean of its divisors is an integer number (5201479800).

Almost surely, 2^220757434680 is an apocalyptic number.

220757434680 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 220757434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332894707200).

220757434680 is an abundant number, since it is smaller than the sum of its proper divisors (445031979720).

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

220757434680 is a wasteful number, since it uses less digits than its factorization.

220757434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 220757434680 in words is "two hundred twenty billion, seven hundred fifty-seven million, four hundred thirty-four thousand, six hundred eighty".