6517332864 has 432 divisors, whose sum is σ = 22937227560. Its totient is φ = 1739888640.

The previous prime is 6517332863. The next prime is 6517332907. The reversal of 6517332864 is 4682337156.

Its product of digits (725760) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6517332863) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 210236529 + ... + 210236559.

Almost surely, 2^6517332864 is an apocalyptic number.

6517332864 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 6517332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468613780).

6517332864 is an abundant number, since it is smaller than the sum of its proper divisors (16419894696).

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

6517332864 is a wasteful number, since it uses less digits than its factorization.

6517332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 72 counting only the distinct ones).

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

The square root of 6517332864 is about 80729.9997770346. Note that the first 3 decimals coincide. The cubic root of 6517332864 is about 1867.9129550264.

The spelling of 6517332864 in words is "six billion, five hundred seventeen million, three hundred thirty-two thousand, eight hundred sixty-four".