8118167040 has 480 divisors, whose sum is σ = 29472711840. Its totient is φ = 2063204352.

The previous prime is 8118167023. The next prime is 8118167047. The reversal of 8118167040 is 407618118.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 8118166986 and 8118167004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8118167047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75870667 + ... + 75870773.

It is an arithmetic number, because the mean of its divisors is an integer number (61401483).

Almost surely, 2^8118167040 is an apocalyptic number.

8118167040 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 8118167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736355920).

8118167040 is an abundant number, since it is smaller than the sum of its proper divisors (21354544800).

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

8118167040 is a wasteful number, since it uses less digits than its factorization.

8118167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8118167040 is about 90100.8714719231. The cubic root of 8118167040 is about 2009.7991631218.

The spelling of 8118167040 in words is "eight billion, one hundred eighteen million, one hundred sixty-seven thousand, forty".