8166292992 has 720 divisors, whose sum is σ = 30443645232. Its totient is φ = 2149908480.

The previous prime is 8166292933. The next prime is 8166293027. The reversal of 8166292992 is 2992926618.

It is a happy number.

8166292992 is a `hidden beast` number, since 8 + 1 + 6 + 629 + 2 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 480370168 + ... + 480370184.

Almost surely, 2^8166292992 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 8166292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221822616).

8166292992 is an abundant number, since it is smaller than the sum of its proper divisors (22277352240).

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

8166292992 is an equidigital number, since it uses as much as digits as its factorization.

8166292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 8166292992 is about 90367.5439081975. The cubic root of 8166292992 is about 2013.7628244244.

The spelling of 8166292992 in words is "eight billion, one hundred sixty-six million, two hundred ninety-two thousand, nine hundred ninety-two".