5684120640 has 672 divisors, whose sum is σ = 23108716800. Its totient is φ = 1267875840.

The previous prime is 5684120609. The next prime is 5684120641. The reversal of 5684120640 is 460214865.

5684120640 is a `hidden beast` number, since 5 + 6 + 8 + 4 + 1 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5684120595 and 5684120604.

It is not an unprimeable number, because it can be changed into a prime (5684120641) 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 95 ways as a sum of consecutive naturals, for example, 21130426 + ... + 21130694.

Almost surely, 2^5684120640 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 5684120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554358400).

5684120640 is an abundant number, since it is smaller than the sum of its proper divisors (17424596160).

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

5684120640 is a wasteful number, since it uses less digits than its factorization.

5684120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5684120640 is about 75393.1073772663. The cubic root of 5684120640 is about 1784.6556405597.

The spelling of 5684120640 in words is "five billion, six hundred eighty-four million, one hundred twenty thousand, six hundred forty".