216936824832 has 960 divisors, whose sum is σ = 840261219840. Its totient is φ = 53678702592.

The previous prime is 216936824771. The next prime is 216936824887. The reversal of 216936824832 is 238428639612.

216936824832 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 368 + 248 + 32 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684343138 + ... + 684343454.

It is an arithmetic number, because the mean of its divisors is an integer number (875272104).

Almost surely, 2^216936824832 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 216936824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420130609920).

216936824832 is an abundant number, since it is smaller than the sum of its proper divisors (623324395008).

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

216936824832 is a wasteful number, since it uses less digits than its factorization.

216936824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 216936824832 in words is "two hundred sixteen billion, nine hundred thirty-six million, eight hundred twenty-four thousand, eight hundred thirty-two".