8000469792 has 288 divisors, whose sum is σ = 27245417472. Its totient is φ = 2262069504.

The previous prime is 8000469779. The next prime is 8000469793. The reversal of 8000469792 is 2979640008.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8000469793) 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 47 ways as a sum of consecutive naturals, for example, 5605783 + ... + 5607209.

It is an arithmetic number, because the mean of its divisors is an integer number (94602144).

Almost surely, 2^8000469792 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 8000469792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622708736).

8000469792 is an abundant number, since it is smaller than the sum of its proper divisors (19244947680).

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

8000469792 is a wasteful number, since it uses less digits than its factorization.

8000469792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8000469792 is about 89445.3452785554. The cubic root of 8000469792 is about 2000.0391485670.

The spelling of 8000469792 in words is "eight billion, four hundred sixty-nine thousand, seven hundred ninety-two".