8382130176 has 192 divisors, whose sum is σ = 26367344640. Its totient is φ = 2317271040.

The previous prime is 8382130171. The next prime is 8382130181. The reversal of 8382130176 is 6710312838.

It is an interprime number because it is at equal distance from previous prime (8382130171) and next prime (8382130181).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8382130171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330105 + ... + 1336391.

It is an arithmetic number, because the mean of its divisors is an integer number (137329920).

Almost surely, 2^8382130176 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 8382130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13183672320).

8382130176 is an abundant number, since it is smaller than the sum of its proper divisors (17985214464).

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

8382130176 is a wasteful number, since it uses less digits than its factorization.

8382130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8382130176 is about 91553.9741136342. The cubic root of 8382130176 is about 2031.3501962586.

The spelling of 8382130176 in words is "eight billion, three hundred eighty-two million, one hundred thirty thousand, one hundred seventy-six".