216753988464 has 240 divisors, whose sum is σ = 709841233920. Its totient is φ = 61144865280.

The previous prime is 216753988439. The next prime is 216753988499. The reversal of 216753988464 is 464889357612.

216753988464 is a `hidden beast` number, since 2 + 1 + 67 + 5 + 39 + 88 + 464 = 666.

216753988464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004317 + ... + 1200899.

It is an arithmetic number, because the mean of its divisors is an integer number (2957671808).

Almost surely, 2^216753988464 is an apocalyptic number.

216753988464 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 216753988464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354920616960).

216753988464 is an abundant number, since it is smaller than the sum of its proper divisors (493087245456).

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

216753988464 is a wasteful number, since it uses less digits than its factorization.

216753988464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196660 (or 196651 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 216753988464 in words is "two hundred sixteen billion, seven hundred fifty-three million, nine hundred eighty-eight thousand, four hundred sixty-four".