216730442880 has 640 divisors, whose sum is σ = 899145308160. Its totient is φ = 48721305600.

The previous prime is 216730442849. The next prime is 216730442891. The reversal of 216730442880 is 88244037612.

It is a happy number.

216730442880 is a `hidden beast` number, since 2 + 1 + 67 + 304 + 4 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22130785 + ... + 22140575.

It is an arithmetic number, because the mean of its divisors is an integer number (1404914544).

Almost surely, 2^216730442880 is an apocalyptic number.

216730442880 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 216730442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449572654080).

216730442880 is an abundant number, since it is smaller than the sum of its proper divisors (682414865280).

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

216730442880 is an equidigital number, since it uses as much as digits as its factorization.

216730442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 216730442880 in words is "two hundred sixteen billion, seven hundred thirty million, four hundred forty-two thousand, eight hundred eighty".