8240367168 has 504 divisors, whose sum is σ = 28036357440. Its totient is φ = 2395008000.

The previous prime is 8240367119. The next prime is 8240367193. The reversal of 8240367168 is 8617630428.

8240367168 is a `hidden beast` number, since 82 + 403 + 6 + 7 + 168 = 666.

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 71 ways as a sum of consecutive naturals, for example, 54571893 + ... + 54572043.

Almost surely, 2^8240367168 is an apocalyptic number.

8240367168 is a gapful number since it is divisible by the number (88) 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 8240367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018178720).

8240367168 is an abundant number, since it is smaller than the sum of its proper divisors (19795990272).

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

8240367168 is a wasteful number, since it uses less digits than its factorization.

8240367168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8240367168 is about 90776.4681401518. The cubic root of 8240367168 is about 2019.8332679426.

The spelling of 8240367168 in words is "eight billion, two hundred forty million, three hundred sixty-seven thousand, one hundred sixty-eight".