5704560000 has 640 divisors, whose sum is σ = 22305360000. Its totient is φ = 1430784000.

The previous prime is 5704559957. The next prime is 5704560011. The reversal of 5704560000 is 654075.

5704560000 is a `hidden beast` number, since 57 + 0 + 4 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41039931 + ... + 41040069.

It is an arithmetic number, because the mean of its divisors is an integer number (34852125).

Almost surely, 2^5704560000 is an apocalyptic number.

5704560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5704560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152680000).

5704560000 is an abundant number, since it is smaller than the sum of its proper divisors (16600800000).

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

5704560000 is a wasteful number, since it uses less digits than its factorization.

5704560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5704560000 is about 75528.5376529958. The cubic root of 5704560000 is about 1786.7922116676.

The spelling of 5704560000 in words is "five billion, seven hundred four million, five hundred sixty thousand".