8329056120 has 512 divisors, whose sum is σ = 35367321600. Its totient is φ = 1693094400.

The previous prime is 8329056103. The next prime is 8329056121. The reversal of 8329056120 is 216509238.

8329056120 is a `hidden beast` number, since 8 + 3 + 2 + 90 + 561 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329056121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3907455 + ... + 3909585.

It is an arithmetic number, because the mean of its divisors is an integer number (69076800).

Almost surely, 2^8329056120 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 8329056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683660800).

8329056120 is an abundant number, since it is smaller than the sum of its proper divisors (27038265480).

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

8329056120 is a wasteful number, since it uses less digits than its factorization.

8329056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8329056120 is about 91263.6626483947. The cubic root of 8329056120 is about 2027.0537408233.

The spelling of 8329056120 in words is "eight billion, three hundred twenty-nine million, fifty-six thousand, one hundred twenty".