5705677824 has 176 divisors, whose sum is σ = 18961049856. Its totient is φ = 1481932800.

The previous prime is 5705677807. The next prime is 5705677849. The reversal of 5705677824 is 4287765075.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224484 + ... + 248604.

Almost surely, 2^5705677824 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 5705677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480524928).

5705677824 is an abundant number, since it is smaller than the sum of its proper divisors (13255372032).

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

5705677824 is a wasteful number, since it uses less digits than its factorization.

5705677824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The square root of 5705677824 is about 75535.9373013932. The cubic root of 5705677824 is about 1786.9089129716.

The spelling of 5705677824 in words is "five billion, seven hundred five million, six hundred seventy-seven thousand, eight hundred twenty-four".