8129164320 has 96 divisors (see below), whose sum is σ = 28452090240. Its totient is φ = 2167776000.

The previous prime is 8129164313. The next prime is 8129164331. The reversal of 8129164320 is 234619218.

8129164320 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 1 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8129164320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936556 + ... + 945195.

It is an arithmetic number, because the mean of its divisors is an integer number (296375940).

Almost surely, 2^8129164320 is an apocalyptic number.

8129164320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8129164320 is an abundant number, since it is smaller than the sum of its proper divisors (20322925920).

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

8129164320 is a wasteful number, since it uses less digits than its factorization.

8129164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881775 (or 1881761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8129164320 is about 90161.8784187641. The cubic root of 8129164320 is about 2010.7062788630.

The spelling of 8129164320 in words is "eight billion, one hundred twenty-nine million, one hundred sixty-four thousand, three hundred twenty".