217327968000 has 1152 divisors, whose sum is σ = 942817075200. Its totient is φ = 48605184000.

The previous prime is 217327967933. The next prime is 217327968019. The reversal of 217327968000 is 869723712.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123551121 + ... + 123552879.

It is an arithmetic number, because the mean of its divisors is an integer number (818417600).

Almost surely, 2^217327968000 is an apocalyptic number.

217327968000 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 217327968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471408537600).

217327968000 is an abundant number, since it is smaller than the sum of its proper divisors (725489107200).

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

217327968000 is a wasteful number, since it uses less digits than its factorization.

217327968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 217327968000 in words is "two hundred seventeen billion, three hundred twenty-seven million, nine hundred sixty-eight thousand".