5705766584 has 64 divisors (see below), whose sum is σ = 13018752000. Its totient is φ = 2338984032.

The previous prime is 5705766571. The next prime is 5705766587. The reversal of 5705766584 is 4856675075.

It is a super-2 number, since 2×5705766584² = 65111544622182058112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705766587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17909 + ... + 108315.

It is an arithmetic number, because the mean of its divisors is an integer number (203418000).

Almost surely, 2^5705766584 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 5705766584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509376000).

5705766584 is an abundant number, since it is smaller than the sum of its proper divisors (7312985416).

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

5705766584 is a wasteful number, since it uses less digits than its factorization.

5705766584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90457 (or 90439 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 53.

The square root of 5705766584 is about 75536.5248340166. The cubic root of 5705766584 is about 1786.9181789003.

The spelling of 5705766584 in words is "five billion, seven hundred five million, seven hundred sixty-six thousand, five hundred eighty-four".