8095167360 has 384 divisors, whose sum is σ = 33631603200. Its totient is φ = 1752772608.

The previous prime is 8095167349. The next prime is 8095167391. The reversal of 8095167360 is 637615908.

It is a happy number.

8095167360 is a `hidden beast` number, since 8 + 0 + 9 + 516 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760797 + ... + 771363.

It is an arithmetic number, because the mean of its divisors is an integer number (87582300).

Almost surely, 2^8095167360 is an apocalyptic number.

8095167360 is a gapful number since it is divisible by the number (80) 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 8095167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815801600).

8095167360 is an abundant number, since it is smaller than the sum of its proper divisors (25536435840).

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

8095167360 is a wasteful number, since it uses less digits than its factorization.

8095167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8095167360 is about 89973.1479942766. The cubic root of 8095167360 is about 2007.8993722158.

The spelling of 8095167360 in words is "eight billion, ninety-five million, one hundred sixty-seven thousand, three hundred sixty".