8004840000 has 280 divisors, whose sum is σ = 27128041248. Its totient is φ = 2081280000.

The previous prime is 8004839971. The next prime is 8004840017. The reversal of 8004840000 is 484008.

It is a super-3 number, since 3×8004840000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919187 + ... + 4920813.

Almost surely, 2^8004840000 is an apocalyptic number.

8004840000 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 8004840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564020624).

8004840000 is an abundant number, since it is smaller than the sum of its proper divisors (19123201248).

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

8004840000 is a wasteful number, since it uses less digits than its factorization.

8004840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8004840000 is about 89469.7714314729. The cubic root of 8004840000 is about 2000.4032520218.

The spelling of 8004840000 in words is "eight billion, four million, eight hundred forty thousand".