8168152320 has 288 divisors, whose sum is σ = 29229527040. Its totient is φ = 2159861760.

The previous prime is 8168152319. The next prime is 8168152331. The reversal of 8168152320 is 232518618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388190 + ... + 4390050.

Almost surely, 2^8168152320 is an apocalyptic number.

8168152320 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 8168152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614763520).

8168152320 is an abundant number, since it is smaller than the sum of its proper divisors (21061374720).

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

8168152320 is a wasteful number, since it uses less digits than its factorization.

8168152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8168152320 is about 90377.8309100191. The cubic root of 8168152320 is about 2013.9156461710.

The spelling of 8168152320 in words is "eight billion, one hundred sixty-eight million, one hundred fifty-two thousand, three hundred twenty".