5666068217472 has 768 divisors, whose sum is σ = 17913607004160. Its totient is φ = 1572787814400.

The previous prime is 5666068217399. The next prime is 5666068217473. The reversal of 5666068217472 is 2747128606665.

It is a happy number.

It is a Smith number, since the sum of its digits (60) 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 (5666068217473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5983176103 + ... + 5983177049.

It is an arithmetic number, because the mean of its divisors is an integer number (23325009120).

Almost surely, 2^{5666068217472} is an apocalyptic number.

5666068217472 is a gapful number since it is divisible by the number (52) 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 5666068217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956803502080).

5666068217472 is an abundant number, since it is smaller than the sum of its proper divisors (12247538786688).

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

5666068217472 is a wasteful number, since it uses less digits than its factorization.

5666068217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 5666068217472 in words is "five trillion, six hundred sixty-six billion, sixty-eight million, two hundred seventeen thousand, four hundred seventy-two".