8128069632 has 128 divisors (see below), whose sum is σ = 24085423200. Its totient is φ = 2709061632.

The previous prime is 8128069601. The next prime is 8128069633. The reversal of 8128069632 is 2369608218.

8128069632 is a `hidden beast` number, since 8 + 1 + 2 + 8 + 0 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8128069633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880143 + ... + 889329.

Almost surely, 2^8128069632 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 8128069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042711600).

8128069632 is an abundant number, since it is smaller than the sum of its proper divisors (15957353568).

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

8128069632 is an frugal number, since it uses more digits than its factorization.

8128069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8128069632 is about 90155.8075334030. The cubic root of 8128069632 is about 2010.6160196943.

The spelling of 8128069632 in words is "eight billion, one hundred twenty-eight million, sixty-nine thousand, six hundred thirty-two".