5680311840 has 384 divisors, whose sum is σ = 23712030720. Its totient is φ = 1241754624.

The previous prime is 5680311827. The next prime is 5680311841. The reversal of 5680311840 is 481130865.

5680311840 is a `hidden beast` number, since 568 + 0 + 3 + 11 + 84 + 0 = 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 = 5680311795 and 5680311804.

It is not an unprimeable number, because it can be changed into a prime (5680311841) 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 63 ways as a sum of consecutive naturals, for example, 691437 + ... + 699603.

It is an arithmetic number, because the mean of its divisors is an integer number (61750080).

Almost surely, 2^5680311840 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 5680311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856015360).

5680311840 is an abundant number, since it is smaller than the sum of its proper divisors (18031718880).

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

5680311840 is a wasteful number, since it uses less digits than its factorization.

5680311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5680311840 is about 75367.8435408630. The cubic root of 5680311840 is about 1784.2569324357.

The spelling of 5680311840 in words is "five billion, six hundred eighty million, three hundred eleven thousand, eight hundred forty".