6585149664 has 60 divisors (see below), whose sum is σ = 19366749864. Its totient is φ = 2195049024.

The previous prime is 6585149657. The next prime is 6585149689. The reversal of 6585149664 is 4669415856.

6585149664 is a `hidden beast` number, since 65 + 8 + 514 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6585149664.

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 9 ways as a sum of consecutive naturals, for example, 1267692 + ... + 1272875.

Almost surely, 2^6585149664 is an apocalyptic number.

It is an amenable number.

6585149664 is an abundant number, since it is smaller than the sum of its proper divisors (12781600200).

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

6585149664 is a wasteful number, since it uses less digits than its factorization.

6585149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540589 (or 2540572 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 6585149664 is about 81148.9350761919. The cubic root of 6585149664 is about 1874.3695339505.

The spelling of 6585149664 in words is "six billion, five hundred eighty-five million, one hundred forty-nine thousand, six hundred sixty-four".