6585457068 has 72 divisors (see below), whose sum is σ = 16966629680. Its totient is φ = 2153226240.

The previous prime is 6585457061. The next prime is 6585457117. The reversal of 6585457068 is 8607545856.

6585457068 is a `hidden beast` number, since 6 + 5 + 8 + 5 + 4 + 570 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (6585457061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 575628 + ... + 586956.

Almost surely, 2^6585457068 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 6585457068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483314840).

6585457068 is an abundant number, since it is smaller than the sum of its proper divisors (10381172612).

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

6585457068 is a wasteful number, since it uses less digits than its factorization.

6585457068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11647 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 6585457068 is about 81150.8291270028. The cubic root of 6585457068 is about 1874.3986995608.

The spelling of 6585457068 in words is "six billion, five hundred eighty-five million, four hundred fifty-seven thousand, sixty-eight".