5684125567680 has 2016 divisors, whose sum is σ = 24401207301120. Its totient is φ = 1187923968000.

The previous prime is 5684125567643. The next prime is 5684125567693. The reversal of 5684125567680 is 867655214865.

5684125567680 is a `hidden beast` number, since 5 + 6 + 8 + 4 + 1 + 2 + 5 + 567 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37643215605 + ... + 37643215755.

Almost surely, 2^{5684125567680} 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 5684125567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200603650560).

5684125567680 is an abundant number, since it is smaller than the sum of its proper divisors (18717081733440).

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

5684125567680 is a wasteful number, since it uses less digits than its factorization.

5684125567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5684125567680 in words is "five trillion, six hundred eighty-four billion, one hundred twenty-five million, five hundred sixty-seven thousand, six hundred eighty".