216473886720 has 1344 divisors, whose sum is σ = 961779087360. Its totient is φ = 45482508288.

The previous prime is 216473886667. The next prime is 216473886743. The reversal of 216473886720 is 27688374612.

216473886720 is a `hidden beast` number, since 2 + 16 + 473 + 88 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748361 + ... + 905748599.

It is an arithmetic number, because the mean of its divisors is an integer number (715609440).

Almost surely, 2^216473886720 is an apocalyptic number.

216473886720 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 216473886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480889543680).

216473886720 is an abundant number, since it is smaller than the sum of its proper divisors (745305200640).

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

216473886720 is an equidigital number, since it uses as much as digits as its factorization.

216473886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 216473886720 in words is "two hundred sixteen billion, four hundred seventy-three million, eight hundred eighty-six thousand, seven hundred twenty".