216370066752 has 210 divisors, whose sum is σ = 746106052362. Its totient is φ = 61819946496.

The previous prime is 216370066747. The next prime is 216370066771. The reversal of 216370066752 is 257660073612.

216370066752 is a `hidden beast` number, since 2 + 1 + 637 + 0 + 0 + 6 + 6 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134994517056 + 81375549696 = 367416^2 + 285264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216370066698 and 216370066707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 171883 + ... + 679914.

Almost surely, 2^216370066752 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 216370066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373053026181).

216370066752 is an abundant number, since it is smaller than the sum of its proper divisors (529735985610).

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

216370066752 is an equidigital number, since it uses as much as digits as its factorization.

216370066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851835 (or 851809 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 216370066752 in words is "two hundred sixteen billion, three hundred seventy million, sixty-six thousand, seven hundred fifty-two".