5648758560 has 216 divisors, whose sum is σ = 20020491036. Its totient is φ = 1506055680.

The previous prime is 5648758523. The next prime is 5648758561. The reversal of 5648758560 is 658578465.

5648758560 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 75 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5505046416 + 143712144 = 74196^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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 = 5648758497 and 5648758506.

It is not an unprimeable number, because it can be changed into a prime (5648758561) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1047070 + ... + 1052450.

Almost surely, 2^5648758560 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 5648758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010245518).

5648758560 is an abundant number, since it is smaller than the sum of its proper divisors (14371732476).

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

5648758560 is an frugal number, since it uses more digits than its factorization.

5648758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5648758560 is about 75158.2235021558. The cubic root of 5648758560 is about 1780.9470363404.

The spelling of 5648758560 in words is "five billion, six hundred forty-eight million, seven hundred fifty-eight thousand, five hundred sixty".