5664085056 has 504 divisors, whose sum is σ = 20156887296. Its totient is φ = 1545246720.

The previous prime is 5664085043. The next prime is 5664085073. The reversal of 5664085056 is 6505804665.

It is a happy number.

5664085056 is a `hidden beast` number, since 566 + 4 + 0 + 85 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120512425 + ... + 120512471.

It is an arithmetic number, because the mean of its divisors is an integer number (39993824).

Almost surely, 2^5664085056 is an apocalyptic number.

5664085056 is a gapful number since it is divisible by the number (56) 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 5664085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10078443648).

5664085056 is an abundant number, since it is smaller than the sum of its proper divisors (14492802240).

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

5664085056 is an frugal number, since it uses more digits than its factorization.

5664085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5664085056 is about 75260.1159712101. The cubic root of 5664085056 is about 1782.5563001468.

The spelling of 5664085056 in words is "five billion, six hundred sixty-four million, eighty-five thousand, fifty-six".