5684380416 has 576 divisors, whose sum is σ = 20273863680. Its totient is φ = 1567641600.

The previous prime is 5684380409. The next prime is 5684380421. The reversal of 5684380416 is 6140834865.

5684380416 is a `hidden beast` number, since 568 + 4 + 3 + 80 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 80061661 + ... + 80061731.

It is an arithmetic number, because the mean of its divisors is an integer number (35197680).

Almost surely, 2^5684380416 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 5684380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136931840).

5684380416 is an abundant number, since it is smaller than the sum of its proper divisors (14589483264).

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

5684380416 is an equidigital number, since it uses as much as digits as its factorization.

5684380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5684380416 is about 75394.8301675917. The cubic root of 5684380416 is about 1784.6828276229.

The spelling of 5684380416 in words is "five billion, six hundred eighty-four million, three hundred eighty thousand, four hundred sixteen".