5687740640160 has 144 divisors (see below), whose sum is σ = 19416867167880. Its totient is φ = 1516148490240.

The previous prime is 5687740640123. The next prime is 5687740640173. The reversal of 5687740640160 is 610460477865.

5687740640160 is a `hidden beast` number, since 5 + 6 + 8 + 77 + 406 + 4 + 0 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2585393863056 + 3102346777104 = 1607916^2 + 1761348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5687740640097 and 5687740640106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000000 + ... + 4513920.

Almost surely, 2^{5687740640160} 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 5687740640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708433583940).

5687740640160 is an abundant number, since it is smaller than the sum of its proper divisors (13729126527720).

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

5687740640160 is a wasteful number, since it uses less digits than its factorization.

5687740640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516551 (or 1516540 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5687740640160 in words is "five trillion, six hundred eighty-seven billion, seven hundred forty million, six hundred forty thousand, one hundred sixty".