8167782168 has 576 divisors, whose sum is σ = 29689920000. Its totient is φ = 2020951296.

The previous prime is 8167782167. The next prime is 8167782173. The reversal of 8167782168 is 8612877618.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1806336) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8167782167) 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 143 ways as a sum of consecutive naturals, for example, 79298805 + ... + 79298907.

It is an arithmetic number, because the mean of its divisors is an integer number (51545000).

Almost surely, 2^8167782168 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 8167782168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844960000).

8167782168 is an abundant number, since it is smaller than the sum of its proper divisors (21522137832).

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

8167782168 is a wasteful number, since it uses less digits than its factorization.

8167782168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 8167782168 is about 90375.7830837443. The cubic root of 8167782168 is about 2013.8852245148.

The spelling of 8167782168 in words is "eight billion, one hundred sixty-seven million, seven hundred eighty-two thousand, one hundred sixty-eight".