216473760 has 72 divisors (see below), whose sum is σ = 738721620. Its totient is φ = 57725952.

The previous prime is 216473759. The next prime is 216473779. The reversal of 216473760 is 67374612.

216473760 is a `hidden beast` number, since 2 + 1 + 647 + 3 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 3196944 = 14604^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73725 + ... + 76604.

Almost surely, 2^216473760 is an apocalyptic number.

216473760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216473760 is an abundant number, since it is smaller than the sum of its proper divisors (522247860).

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

216473760 is a wasteful number, since it uses less digits than its factorization.

216473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150350 (or 150339 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 216473760 is about 14713.0472710448. The cubic root of 216473760 is about 600.4383463428.

The spelling of 216473760 in words is "two hundred sixteen million, four hundred seventy-three thousand, seven hundred sixty".