5666846365440 has 1440 divisors, whose sum is σ = 22807447629120. Its totient is φ = 1333856305152.

The previous prime is 5666846365393. The next prime is 5666846365459. The reversal of 5666846365440 is 445636486665.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5666846365440² (a number of 26 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 159 ways as a sum of consecutive naturals, for example, 4416871039 + ... + 4416872321.

It is an arithmetic number, because the mean of its divisors is an integer number (15838505298).

Almost surely, 2^{5666846365440} 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 5666846365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403723814560).

5666846365440 is an abundant number, since it is smaller than the sum of its proper divisors (17140601263680).

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

5666846365440 is a wasteful number, since it uses less digits than its factorization.

5666846365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 5666846365440 in words is "five trillion, six hundred sixty-six billion, eight hundred forty-six million, three hundred sixty-five thousand, four hundred forty".