216843264000 has 1792 divisors, whose sum is σ = 942150942720. Its totient is φ = 48660480000.

The previous prime is 216843263971. The next prime is 216843264007. The reversal of 216843264000 is 462348612.

216843264000 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 3 + 2 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×216843264000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216843264007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6994943985 + ... + 6994944015.

Almost surely, 2^216843264000 is an apocalyptic number.

216843264000 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 216843264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471075471360).

216843264000 is an abundant number, since it is smaller than the sum of its proper divisors (725307678720).

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

216843264000 is a wasteful number, since it uses less digits than its factorization.

216843264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 216843264000 in words is "two hundred sixteen billion, eight hundred forty-three million, two hundred sixty-four thousand".