5685664320 has 224 divisors, whose sum is σ = 22923398400. Its totient is φ = 1299566592.

The previous prime is 5685664319. The next prime is 5685664321. The reversal of 5685664320 is 234665865.

5685664320 is a `hidden beast` number, since 5 + 68 + 566 + 4 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5685664319) and next prime (5685664321).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (5685664321) 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 31 ways as a sum of consecutive naturals, for example, 13476 + ... + 107484.

It is an arithmetic number, because the mean of its divisors is an integer number (102336600).

Almost surely, 2^5685664320 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 5685664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461699200).

5685664320 is an abundant number, since it is smaller than the sum of its proper divisors (17237734080).

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

5685664320 is a wasteful number, since it uses less digits than its factorization.

5685664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94042 (or 94026 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5685664320 is about 75403.3442229189. The cubic root of 5685664320 is about 1784.8171834519.

The spelling of 5685664320 in words is "five billion, six hundred eighty-five million, six hundred sixty-four thousand, three hundred twenty".