218869734720 has 672 divisors, whose sum is σ = 882984727296. Its totient is φ = 45528698880.

The previous prime is 218869734703. The next prime is 218869734781. The reversal of 218869734720 is 27437968812.

218869734720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3082672285 + ... + 3082672355.

It is an arithmetic number, because the mean of its divisors is an integer number (1313965368).

Almost surely, 2^218869734720 is an apocalyptic number.

218869734720 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 218869734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441492363648).

218869734720 is an abundant number, since it is smaller than the sum of its proper divisors (664114992576).

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

218869734720 is an frugal number, since it uses more digits than its factorization.

218869734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 218869734720 in words is "two hundred eighteen billion, eight hundred sixty-nine million, seven hundred thirty-four thousand, seven hundred twenty".