8006869440 has 448 divisors, whose sum is σ = 30322235520. Its totient is φ = 2006581248.

The previous prime is 8006869433. The next prime is 8006869447. The reversal of 8006869440 is 449686008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8006869433) and next prime (8006869447).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006869447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11896944 + ... + 11897616.

Almost surely, 2^8006869440 is an apocalyptic number.

8006869440 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 8006869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161117760).

8006869440 is an abundant number, since it is smaller than the sum of its proper divisors (22315366080).

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

8006869440 is an equidigital number, since it uses as much as digits as its factorization.

8006869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8006869440 is about 89481.1121969324. The cubic root of 8006869440 is about 2000.5722895600.

The spelling of 8006869440 in words is "eight billion, six million, eight hundred sixty-nine thousand, four hundred forty".