5704755966 has 448 divisors, whose sum is σ = 17392865280. Its totient is φ = 1360488960.

The previous prime is 5704755919. The next prime is 5704756007. The reversal of 5704755966 is 6695574075.

5704755966 is a `hidden beast` number, since 5 + 7 + 0 + 47 + 5 + 596 + 6 = 666.

It is a super-2 number, since 2×5704755966² = 65088481263225186312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 78147306 + ... + 78147378.

It is an arithmetic number, because the mean of its divisors is an integer number (38823360).

Almost surely, 2^5704755966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5704755966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696432640).

5704755966 is an abundant number, since it is smaller than the sum of its proper divisors (11688109314).

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

5704755966 is a wasteful number, since it uses less digits than its factorization.

5704755966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The square root of 5704755966 is about 75529.8349395787. The cubic root of 5704755966 is about 1786.8126717039.

The spelling of 5704755966 in words is "five billion, seven hundred four million, seven hundred fifty-five thousand, nine hundred sixty-six".