216210440064 has 128 divisors (see below), whose sum is σ = 596379801600. Its totient is φ = 69319448576.

The previous prime is 216210440041. The next prime is 216210440081. The reversal of 216210440064 is 460044012612.

It is a happy number.

216210440064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891857 + ... + 2965679.

It is an arithmetic number, because the mean of its divisors is an integer number (4659217200).

Almost surely, 2^216210440064 is an apocalyptic number.

216210440064 is a gapful number since it is divisible by the number (24) 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 216210440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298189900800).

216210440064 is an abundant number, since it is smaller than the sum of its proper divisors (380169361536).

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

216210440064 is a wasteful number, since it uses less digits than its factorization.

216210440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74132 (or 74120 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 216210440064 its reverse (460044012612), we get a palindrome (676254452676).

The spelling of 216210440064 in words is "two hundred sixteen billion, two hundred ten million, four hundred forty thousand, sixty-four".