217069965840 has 640 divisors, whose sum is σ = 883815432192. Its totient is φ = 42766663680.

The previous prime is 217069965787. The next prime is 217069965841. The reversal of 217069965840 is 48569960712.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (217069965841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48635449 + ... + 48639911.

Almost surely, 2^217069965840 is an apocalyptic number.

217069965840 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 217069965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441907716096).

217069965840 is an abundant number, since it is smaller than the sum of its proper divisors (666745466352).

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

217069965840 is a wasteful number, since it uses less digits than its factorization.

217069965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 217069965840 in words is "two hundred seventeen billion, sixty-nine million, nine hundred sixty-five thousand, eight hundred forty".