217670752768 has 160 divisors (see below), whose sum is σ = 503699011200. Its totient is φ = 92045721600.

The previous prime is 217670752721. The next prime is 217670752769. The reversal of 217670752768 is 867257076712.

It is a super-2 number, since 2×217670752768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217670752769) 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 15 ways as a sum of consecutive naturals, for example, 126331555 + ... + 126333277.

It is an arithmetic number, because the mean of its divisors is an integer number (3148118820).

Almost surely, 2^217670752768 is an apocalyptic number.

217670752768 is a gapful number since it is divisible by the number (28) 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 217670752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251849505600).

217670752768 is an abundant number, since it is smaller than the sum of its proper divisors (286028258432).

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

217670752768 is a wasteful number, since it uses less digits than its factorization.

217670752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 58.

The spelling of 217670752768 in words is "two hundred seventeen billion, six hundred seventy million, seven hundred fifty-two thousand, seven hundred sixty-eight".