218809224720 has 640 divisors, whose sum is σ = 799413120000. Its totient is φ = 54930161664.

The previous prime is 218809224709. The next prime is 218809224727. The reversal of 218809224720 is 27422908812.

It is a happy number.

218809224720 is a `hidden beast` number, since 2 + 18 + 80 + 92 + 2 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (218809224727) 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 127 ways as a sum of consecutive naturals, for example, 498426261 + ... + 498426699.

It is an arithmetic number, because the mean of its divisors is an integer number (1249083000).

Almost surely, 2^218809224720 is an apocalyptic number.

218809224720 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 218809224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399706560000).

218809224720 is an abundant number, since it is smaller than the sum of its proper divisors (580603895280).

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

218809224720 is a wasteful number, since it uses less digits than its factorization.

218809224720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 218809224720 in words is "two hundred eighteen billion, eight hundred nine million, two hundred twenty-four thousand, seven hundred twenty".