217113672672 has 648 divisors, whose sum is σ = 721585814040. Its totient is φ = 64194923520.

The previous prime is 217113672583. The next prime is 217113672703. The reversal of 217113672672 is 276276311712.

217113672672 is a `hidden beast` number, since 2 + 17 + 11 + 367 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×217113672672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1028974647 + ... + 1028974857.

It is an arithmetic number, because the mean of its divisors is an integer number (1113558355).

Almost surely, 2^217113672672 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 217113672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360792907020).

217113672672 is an abundant number, since it is smaller than the sum of its proper divisors (504472141368).

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

217113672672 is an equidigital number, since it uses as much as digits as its factorization.

217113672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 217113672672 in words is "two hundred seventeen billion, one hundred thirteen million, six hundred seventy-two thousand, six hundred seventy-two".