5765688720 has 540 divisors, whose sum is σ = 22707752340. Its totient is φ = 1309777920.

The previous prime is 5765688713. The next prime is 5765688749. The reversal of 5765688720 is 278865675.

5765688720 is a `hidden beast` number, since 5 + 7 + 6 + 568 + 8 + 72 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1251461376 + 4514227344 = 35376^2 + 67188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25177566 + ... + 25177794.

Almost surely, 2^5765688720 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 5765688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353876170).

5765688720 is an abundant number, since it is smaller than the sum of its proper divisors (16942063620).

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

5765688720 is a wasteful number, since it uses less digits than its factorization.

5765688720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5765688720 is about 75932.1323288106. The cubic root of 5765688720 is about 1793.1518307699.

The spelling of 5765688720 in words is "five billion, seven hundred sixty-five million, six hundred eighty-eight thousand, seven hundred twenty".