5684477760 has 672 divisors, whose sum is σ = 22699797120. Its totient is φ = 1293926400.

The previous prime is 5684477753. The next prime is 5684477789. The reversal of 5684477760 is 677744865.

5684477760 is a `hidden beast` number, since 568 + 4 + 4 + 7 + 7 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5684477697 and 5684477706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43392895 + ... + 43393025.

It is an arithmetic number, because the mean of its divisors is an integer number (33779460).

Almost surely, 2^5684477760 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 5684477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349898560).

5684477760 is an abundant number, since it is smaller than the sum of its proper divisors (17015319360).

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

5684477760 is a wasteful number, since it uses less digits than its factorization.

5684477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 5684477760 is about 75395.4757263325. The cubic root of 5684477760 is about 1784.6930150230.

The spelling of 5684477760 in words is "five billion, six hundred eighty-four million, four hundred seventy-seven thousand, seven hundred sixty".