5666184437760 has 2688 divisors, whose sum is σ = 26507054407680. Its totient is φ = 1121916026880.

The previous prime is 5666184437729. The next prime is 5666184437791. The reversal of 5666184437760 is 677344816665.

It is an interprime number because it is at equal distance from previous prime (5666184437729) and next prime (5666184437791).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21544427389 + ... + 21544427651.

It is an arithmetic number, because the mean of its divisors is an integer number (9861255360).

Almost surely, 2^{5666184437760} 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 5666184437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253527203840).

5666184437760 is an abundant number, since it is smaller than the sum of its proper divisors (20840869969920).

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

5666184437760 is a wasteful number, since it uses less digits than its factorization.

5666184437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 5666184437760 in words is "five trillion, six hundred sixty-six billion, one hundred eighty-four million, four hundred thirty-seven thousand, seven hundred sixty".