5685216768 has 640 divisors, whose sum is σ = 21605760000. Its totient is φ = 1463132160.

The previous prime is 5685216763. The next prime is 5685216781. The reversal of 5685216768 is 8676125865.

5685216768 is a `hidden beast` number, since 56 + 8 + 521 + 6 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4838400) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685216763) 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, 52157898 + ... + 52158006.

It is an arithmetic number, because the mean of its divisors is an integer number (33759000).

Almost surely, 2^5685216768 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 5685216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880000).

5685216768 is an abundant number, since it is smaller than the sum of its proper divisors (15920543232).

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

5685216768 is a wasteful number, since it uses less digits than its factorization.

5685216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 5685216768 is about 75400.3764446836. The cubic root of 5685216768 is about 1784.7703510787.

The spelling of 5685216768 in words is "five billion, six hundred eighty-five million, two hundred sixteen thousand, seven hundred sixty-eight".