216760768272 has 120 divisors (see below), whose sum is σ = 639402185760. Its totient is φ = 68360163840.

The previous prime is 216760768223. The next prime is 216760768297. The reversal of 216760768272 is 272867067612.

216760768272 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 607 + 6 + 8 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2030043 + ... + 2134149.

It is an arithmetic number, because the mean of its divisors is an integer number (5328351548).

Almost surely, 2^216760768272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216760768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319701092880).

216760768272 is an abundant number, since it is smaller than the sum of its proper divisors (422641417488).

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

216760768272 is a wasteful number, since it uses less digits than its factorization.

216760768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104901 (or 104892 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 216760768272 in words is "two hundred sixteen billion, seven hundred sixty million, seven hundred sixty-eight thousand, two hundred seventy-two".