6573264768 has 192 divisors, whose sum is σ = 21681160800. Its totient is φ = 1872543744.

The previous prime is 6573264721. The next prime is 6573264773. The reversal of 6573264768 is 8674623756.

6573264768 is a `hidden beast` number, since 6 + 573 + 2 + 6 + 4 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3297180 + ... + 3299172.

Almost surely, 2^6573264768 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 6573264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840580400).

6573264768 is an abundant number, since it is smaller than the sum of its proper divisors (15107896032).

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

6573264768 is a wasteful number, since it uses less digits than its factorization.

6573264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2414 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 6573264768 is about 81075.6730961884. The cubic root of 6573264768 is about 1873.2412324821.

The spelling of 6573264768 in words is "six billion, five hundred seventy-three million, two hundred sixty-four thousand, seven hundred sixty-eight".