5686640960 has 448 divisors, whose sum is σ = 18667805184. Its totient is φ = 1592524800.

The previous prime is 5686640923. The next prime is 5686641017. The reversal of 5686640960 is 690466865.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 5686640899 and 5686640908.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13132904 + ... + 13133336.

It is an arithmetic number, because the mean of its divisors is an integer number (41669208).

Almost surely, 2^5686640960 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 5686640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333902592).

5686640960 is an abundant number, since it is smaller than the sum of its proper divisors (12981164224).

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

5686640960 is a wasteful number, since it uses less digits than its factorization.

5686640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The square root of 5686640960 is about 75409.8200501765. The cubic root of 5686640960 is about 1784.9193716899.

It can be divided in two parts, 5686 and 640960, that added together give a palindrome (646646).

The spelling of 5686640960 in words is "five billion, six hundred eighty-six million, six hundred forty thousand, nine hundred sixty".