5756783760 has 480 divisors, whose sum is σ = 24386439168. Its totient is φ = 1184440320.

The previous prime is 5756783699. The next prime is 5756783777. The reversal of 5756783760 is 673876575.

5756783760 is a `hidden beast` number, since 5 + 7 + 567 + 8 + 3 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5756783697 and 5756783706.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2685249 + ... + 2687391.

Almost surely, 2^5756783760 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 5756783760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193219584).

5756783760 is an abundant number, since it is smaller than the sum of its proper divisors (18629655408).

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

5756783760 is a wasteful number, since it uses less digits than its factorization.

5756783760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The square root of 5756783760 is about 75873.4720439232. The cubic root of 5756783760 is about 1792.2281959214.

The spelling of 5756783760 in words is "five billion, seven hundred fifty-six million, seven hundred eighty-three thousand, seven hundred sixty".