217630703772 has 72 divisors (see below), whose sum is σ = 570769356976. Its totient is φ = 72508929408.

The previous prime is 217630703699. The next prime is 217630703779. The reversal of 217630703772 is 277307036712.

217630703772 is a `hidden beast` number, since 2 + 1 + 7 + 630 + 7 + 0 + 3 + 7 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217630703779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2024778 + ... + 2129550.

Almost surely, 2^217630703772 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 217630703772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285384678488).

217630703772 is an abundant number, since it is smaller than the sum of its proper divisors (353138653204).

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

217630703772 is a wasteful number, since it uses less digits than its factorization.

217630703772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106929 (or 106915 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 217630703772 in words is "two hundred seventeen billion, six hundred thirty million, seven hundred three thousand, seven hundred seventy-two".