8004994008 has 128 divisors (see below), whose sum is σ = 22191840000. Its totient is φ = 2386091520.

The previous prime is 8004994007. The next prime is 8004994021.

8004994008 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004994007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4286691 + ... + 4288557.

It is an arithmetic number, because the mean of its divisors is an integer number (173373750).

Almost surely, 2^8004994008 is an apocalyptic number.

8004994008 is a gapful number since it is divisible by the number (88) 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 8004994008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095920000).

8004994008 is an abundant number, since it is smaller than the sum of its proper divisors (14186845992).

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

8004994008 is a wasteful number, since it uses less digits than its factorization.

8004994008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8004994008 is about 89470.6320979124. The cubic root of 8004994008 is about 2000.4160807657.

The spelling of 8004994008 in words is "eight billion, four million, nine hundred ninety-four thousand, eight".