8532000768 has 152 divisors (see below), whose sum is σ = 23991373120. Its totient is φ = 2689597440.

The previous prime is 8532000691. The next prime is 8532000781. The reversal of 8532000768 is 8670002358.

It is a tau number, because it is divible by the number of its divisors (152).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14941923 + ... + 14942493.

Almost surely, 2^8532000768 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 8532000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995686560).

8532000768 is an abundant number, since it is smaller than the sum of its proper divisors (15459372352).

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

8532000768 is an frugal number, since it uses more digits than its factorization.

8532000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 8532000768 is about 92368.8300672906. The cubic root of 8532000768 is about 2043.3854436179.

The spelling of 8532000768 in words is "eight billion, five hundred thirty-two million, seven hundred sixty-eight", and thus it is an aban number.