5817730464 has 288 divisors, whose sum is σ = 20521388160. Its totient is φ = 1522354176.

The previous prime is 5817730393. The next prime is 5817730493. The reversal of 5817730464 is 4640377185.

5817730464 is a `hidden beast` number, since 581 + 7 + 7 + 3 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3642114 + ... + 3643710.

It is an arithmetic number, because the mean of its divisors is an integer number (71254820).

Almost surely, 2^5817730464 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 5817730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260694080).

5817730464 is an abundant number, since it is smaller than the sum of its proper divisors (14703657696).

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

5817730464 is a wasteful number, since it uses less digits than its factorization.

5817730464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5817730464 is about 76274.0484306425. The cubic root of 5817730464 is about 1798.5307417783.

The spelling of 5817730464 in words is "five billion, eight hundred seventeen million, seven hundred thirty thousand, four hundred sixty-four".