5640449852160 has 360 divisors, whose sum is σ = 20189963325840. Its totient is φ = 1503568355328.

The previous prime is 5640449852137. The next prime is 5640449852179. The reversal of 5640449852160 is 612589440465.

It is a happy number.

5640449852160 is a `hidden beast` number, since 5 + 6 + 40 + 4 + 498 + 52 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5640449852097 and 5640449852106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337884774 + ... + 337901466.

Almost surely, 2^{5640449852160} 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 5640449852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094981662920).

5640449852160 is an abundant number, since it is smaller than the sum of its proper divisors (14549513473680).

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

5640449852160 is a wasteful number, since it uses less digits than its factorization.

5640449852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19985 (or 19962 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5640449852160 in words is "five trillion, six hundred forty billion, four hundred forty-nine million, eight hundred fifty-two thousand, one hundred sixty".