216744602068800 has 1680 divisors, whose sum is σ = 918455618203200. Its totient is φ = 49687370956800.

The previous prime is 216744602068777. The next prime is 216744602068871. The reversal of 216744602068800 is 8860206447612.

It is a happy number.

216744602068800 is a `hidden beast` number, since 2 + 1 + 67 + 446 + 0 + 2 + 0 + 68 + 80 + 0 = 666.

It is a super-2 number, since 2×216744602068800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 1888603420 + ... + 1888718180.

It is an arithmetic number, because the mean of its divisors is an integer number (546699772740).

Almost surely, 2^{216744602068800} is an apocalyptic number.

216744602068800 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 216744602068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459227809101600).

216744602068800 is an abundant number, since it is smaller than the sum of its proper divisors (701711016134400).

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

216744602068800 is a wasteful number, since it uses less digits than its factorization.

216744602068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114886 (or 114862 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 216744602068800 in words is "two hundred sixteen trillion, seven hundred forty-four billion, six hundred two million, sixty-eight thousand, eight hundred".