5649716160 has 336 divisors, whose sum is σ = 21368430720. Its totient is φ = 1358714880.

The previous prime is 5649716153. The next prime is 5649716201. The reversal of 5649716160 is 616179465.

5649716160 is a `hidden beast` number, since 564 + 9 + 71 + 6 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402879 + ... + 4404161.

It is an arithmetic number, because the mean of its divisors is an integer number (63596520).

Almost surely, 2^5649716160 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 5649716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684215360).

5649716160 is an abundant number, since it is smaller than the sum of its proper divisors (15718714560).

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

5649716160 is a wasteful number, since it uses less digits than its factorization.

5649716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5649716160 is about 75164.5937925563. The cubic root of 5649716160 is about 1781.0476683939.

The spelling of 5649716160 in words is "five billion, six hundred forty-nine million, seven hundred sixteen thousand, one hundred sixty".