5684016960 has 336 divisors, whose sum is σ = 20584588752. Its totient is φ = 1437696000.

The previous prime is 5684016917. The next prime is 5684016977. The reversal of 5684016960 is 696104865.

It can be written as a sum of positive squares in 8 ways, for example, as 1299458304 + 4384558656 = 36048^2 + 66216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368310 + ... + 4369610.

It is an arithmetic number, because the mean of its divisors is an integer number (61263657).

Almost surely, 2^5684016960 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 5684016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292294376).

5684016960 is an abundant number, since it is smaller than the sum of its proper divisors (14900571792).

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

5684016960 is a wasteful number, since it uses less digits than its factorization.

5684016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5684016960 is about 75392.4197781183. The cubic root of 5684016960 is about 1784.6447896158.

The spelling of 5684016960 in words is "five billion, six hundred eighty-four million, sixteen thousand, nine hundred sixty".