217980964080 has 640 divisors, whose sum is σ = 883293465600. Its totient is φ = 48837427200.

The previous prime is 217980964063. The next prime is 217980964109. The reversal of 217980964080 is 80469089712.

217980964080 is a `hidden beast` number, since 2 + 1 + 79 + 80 + 96 + 408 + 0 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18503152 + ... + 18514928.

It is an arithmetic number, because the mean of its divisors is an integer number (1380146040).

Almost surely, 2^217980964080 is an apocalyptic number.

217980964080 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 217980964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441646732800).

217980964080 is an abundant number, since it is smaller than the sum of its proper divisors (665312501520).

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

217980964080 is a wasteful number, since it uses less digits than its factorization.

217980964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 217980964080 in words is "two hundred seventeen billion, nine hundred eighty million, nine hundred sixty-four thousand, eighty".