8004218004 has 36 divisors (see below), whose sum is σ = 20235639060. Its totient is φ = 2667709440.

The previous prime is 8004218003. The next prime is 8004218009. The reversal of 8004218004 is 4008124008.

It can be written as a sum of positive squares in 2 ways, for example, as 6206288400 + 1797929604 = 78780^2 + 42402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004218003) 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 11 ways as a sum of consecutive naturals, for example, 442612 + ... + 460340.

It is an arithmetic number, because the mean of its divisors is an integer number (562101085).

Almost surely, 2^8004218004 is an apocalyptic number.

It is an amenable number.

8004218004 is an abundant number, since it is smaller than the sum of its proper divisors (12231421056).

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

8004218004 is a wasteful number, since it uses less digits than its factorization.

8004218004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30280 (or 30275 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8004218004 is about 89466.2953519369. The cubic root of 8004218004 is about 2000.3514385752.

The spelling of 8004218004 in words is "eight billion, four million, two hundred eighteen thousand, four".