16218767840 has 192 divisors, whose sum is σ = 44727137280. Its totient is φ = 5495040000.

The previous prime is 16218767827. The next prime is 16218767843. The reversal of 16218767840 is 4876781261.

It is a happy number.

16218767840 is digitally balanced in base 2, 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 (16218767843) 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, 2035865 + ... + 2043815.

It is an arithmetic number, because the mean of its divisors is an integer number (232953840).

Almost surely, 2^16218767840 is an apocalyptic number.

16218767840 is a gapful number since it is divisible by the number (10) 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 16218767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363568640).

16218767840 is an abundant number, since it is smaller than the sum of its proper divisors (28508369440).

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

16218767840 is a wasteful number, since it uses less digits than its factorization.

16218767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 16218767840 in words is "sixteen billion, two hundred eighteen million, seven hundred sixty-seven thousand, eight hundred forty".