8129528064 has 504 divisors, whose sum is σ = 28596377600. Its totient is φ = 2304433152.

The previous prime is 8129528063. The next prime is 8129528087. The reversal of 8129528064 is 4608259218.

8129528064 is a `hidden beast` number, since 81 + 295 + 280 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8129528063) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64011969 + ... + 64012095.

Almost surely, 2^8129528064 is an apocalyptic number.

8129528064 is a gapful number since it is divisible by the number (84) 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 8129528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298188800).

8129528064 is an abundant number, since it is smaller than the sum of its proper divisors (20466849536).

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

8129528064 is an frugal number, since it uses more digits than its factorization.

8129528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8129528064 is about 90163.8955680155. The cubic root of 8129528064 is about 2010.7362684744.

The spelling of 8129528064 in words is "eight billion, one hundred twenty-nine million, five hundred twenty-eight thousand, sixty-four".