5705595648 has 216 divisors, whose sum is σ = 17432932608. Its totient is φ = 1790908416.

The previous prime is 5705595647. The next prime is 5705595659. The reversal of 5705595648 is 8465955075.

5705595648 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 595 + 6 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5705595594 and 5705595603.

It is not an unprimeable number, because it can be changed into a prime (5705595647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3549661 + ... + 3551267.

Almost surely, 2^5705595648 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 5705595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716466304).

5705595648 is an abundant number, since it is smaller than the sum of its proper divisors (11727336960).

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

5705595648 is a wasteful number, since it uses less digits than its factorization.

5705595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 5705595648 is about 75535.3933464307. The cubic root of 5705595648 is about 1786.9003342811.

The spelling of 5705595648 in words is "five billion, seven hundred five million, five hundred ninety-five thousand, six hundred forty-eight".