5649557760 has 864 divisors, whose sum is σ = 25314858240. Its totient is φ = 1167851520.

The previous prime is 5649557723. The next prime is 5649557777. The reversal of 5649557760 is 677559465.

5649557760 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 5 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its 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 = 5649557697 and 5649557706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272224 + ... + 29272416.

Almost surely, 2^5649557760 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 5649557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657429120).

5649557760 is an abundant number, since it is smaller than the sum of its proper divisors (19665300480).

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

5649557760 is a wasteful number, since it uses less digits than its factorization.

5649557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The square root of 5649557760 is about 75163.5400975766. The cubic root of 5649557760 is about 1781.0310232753.

The spelling of 5649557760 in words is "five billion, six hundred forty-nine million, five hundred fifty-seven thousand, seven hundred sixty".