5684605440 has 320 divisors, whose sum is σ = 19327334400. Its totient is φ = 1421328384.

The previous prime is 5684605429. The next prime is 5684605441. The reversal of 5684605440 is 445064865.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 5684605392 and 5684605401.

It is not an unprimeable number, because it can be changed into a prime (5684605441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23784841 + ... + 23785079.

It is an arithmetic number, because the mean of its divisors is an integer number (60397920).

Almost surely, 2^5684605440 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 5684605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9663667200).

5684605440 is an abundant number, since it is smaller than the sum of its proper divisors (13642728960).

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

5684605440 is a wasteful number, since it uses less digits than its factorization.

5684605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 5684605440 is about 75396.3224567352. The cubic root of 5684605440 is about 1784.7063770185.

The spelling of 5684605440 in words is "five billion, six hundred eighty-four million, six hundred five thousand, four hundred forty".