5306460768 has 192 divisors, whose sum is σ = 17781120000. Its totient is φ = 1508170752.

The previous prime is 5306460713. The next prime is 5306460773. The reversal of 5306460768 is 8670646035.

5306460768 is a `hidden beast` number, since 5 + 30 + 6 + 4 + 607 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201348 + ... + 1205756.

It is an arithmetic number, because the mean of its divisors is an integer number (92610000).

Almost surely, 2^5306460768 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 5306460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560000).

5306460768 is an abundant number, since it is smaller than the sum of its proper divisors (12474659232).

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

5306460768 is a wasteful number, since it uses less digits than its factorization.

5306460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5306460768 is about 72845.4581151083. The cubic root of 5306460768 is about 1744.2215686566.

The spelling of 5306460768 in words is "five billion, three hundred six million, four hundred sixty thousand, seven hundred sixty-eight".