216427680 has 384 divisors, whose sum is σ = 918812160. Its totient is φ = 46448640.

The previous prime is 216427583. The next prime is 216427681. The reversal of 216427680 is 86724612.

216427680 is a `hidden beast` number, since 2 + 1 + 642 + 7 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216427681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513870 + ... + 514290.

It is an arithmetic number, because the mean of its divisors is an integer number (2392740).

Almost surely, 2^216427680 is an apocalyptic number.

216427680 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 216427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459406080).

216427680 is an abundant number, since it is smaller than the sum of its proper divisors (702384480).

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

216427680 is a wasteful number, since it uses less digits than its factorization.

216427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 216427680 is about 14711.4812306579. The cubic root of 216427680 is about 600.3957389271.

The spelling of 216427680 in words is "two hundred sixteen million, four hundred twenty-seven thousand, six hundred eighty".