6517612864 has 224 divisors, whose sum is σ = 16726936320. Its totient is φ = 2452488192.

The previous prime is 6517612853. The next prime is 6517612867. The reversal of 6517612864 is 4682167156.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6517612867) 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 31 ways as a sum of consecutive naturals, for example, 10563084 + ... + 10563700.

Almost surely, 2^6517612864 is an apocalyptic number.

6517612864 is a gapful number since it is divisible by the number (64) 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 6517612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363468160).

6517612864 is an abundant number, since it is smaller than the sum of its proper divisors (10209323456).

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

6517612864 is a wasteful number, since it uses less digits than its factorization.

6517612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 6517612864 is about 80731.7339340609. The cubic root of 6517612864 is about 1867.9397046262.

The spelling of 6517612864 in words is "six billion, five hundred seventeen million, six hundred twelve thousand, eight hundred sixty-four".