218087728640 has 320 divisors, whose sum is σ = 565147756800. Its totient is φ = 80418963456.

The previous prime is 218087728627. The next prime is 218087728643. The reversal of 218087728640 is 46827780812.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218087728643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787320182 + ... + 787320458.

It is an arithmetic number, because the mean of its divisors is an integer number (1766086740).

Almost surely, 2^218087728640 is an apocalyptic number.

218087728640 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 218087728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282573878400).

218087728640 is an abundant number, since it is smaller than the sum of its proper divisors (347060028160).

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

218087728640 is a wasteful number, since it uses less digits than its factorization.

218087728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 218087728640 in words is "two hundred eighteen billion, eighty-seven million, seven hundred twenty-eight thousand, six hundred forty".