216809382240 has 1536 divisors, whose sum is σ = 914109235200. Its totient is φ = 48037017600.

The previous prime is 216809382199. The next prime is 216809382259. The reversal of 216809382240 is 42283908612.

216809382240 is a `hidden beast` number, since 21 + 6 + 8 + 0 + 9 + 382 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2744422521 + ... + 2744422599.

It is an arithmetic number, because the mean of its divisors is an integer number (595123200).

Almost surely, 2^216809382240 is an apocalyptic number.

216809382240 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 216809382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457054617600).

216809382240 is an abundant number, since it is smaller than the sum of its proper divisors (697299852960).

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

216809382240 is a wasteful number, since it uses less digits than its factorization.

216809382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 216809382240 in words is "two hundred sixteen billion, eight hundred nine million, three hundred eighty-two thousand, two hundred forty".