216642884976 has 240 divisors, whose sum is σ = 735133900800. Its totient is φ = 58177792512.

The previous prime is 216642884947. The next prime is 216642884977. The reversal of 216642884976 is 679488246612.

216642884976 is a `hidden beast` number, since 2 + 1 + 6 + 64 + 2 + 88 + 497 + 6 = 666.

It is a super-2 number, since 2×216642884976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216642884977) 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 47 ways as a sum of consecutive naturals, for example, 2387770 + ... + 2476838.

It is an arithmetic number, because the mean of its divisors is an integer number (3063057920).

Almost surely, 2^216642884976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216642884976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367566950400).

216642884976 is an abundant number, since it is smaller than the sum of its proper divisors (518491015824).

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

216642884976 is a wasteful number, since it uses less digits than its factorization.

216642884976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89236 (or 89227 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 216642884976 in words is "two hundred sixteen billion, six hundred forty-two million, eight hundred eighty-four thousand, nine hundred seventy-six".