216564768 has 288 divisors, whose sum is σ = 764225280. Its totient is φ = 56770560.

The previous prime is 216564713. The next prime is 216564773. The reversal of 216564768 is 867465612.

216564768 is a `hidden beast` number, since 2 + 16 + 564 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (483840) is a multiple of the sum of its prime divisors (189).

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, 2433268 + ... + 2433356.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^216564768 is an apocalyptic number.

216564768 is a gapful number since it is divisible by the number (28) 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 216564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

216564768 is an abundant number, since it is smaller than the sum of its proper divisors (547660512).

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

216564768 is a wasteful number, since it uses less digits than its factorization.

216564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 216564768 is about 14716.1397112150. The cubic root of 216564768 is about 600.5224782288.

The spelling of 216564768 in words is "two hundred sixteen million, five hundred sixty-four thousand, seven hundred sixty-eight".