8004591840 has 576 divisors, whose sum is σ = 31037271552. Its totient is φ = 1697034240.

The previous prime is 8004591811. The next prime is 8004591851. The reversal of 8004591840 is 481954008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119471487 + ... + 119471553.

It is an arithmetic number, because the mean of its divisors is an integer number (53884152).

Almost surely, 2^8004591840 is an apocalyptic number.

8004591840 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 8004591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518635776).

8004591840 is an abundant number, since it is smaller than the sum of its proper divisors (23032679712).

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

8004591840 is a wasteful number, since it uses less digits than its factorization.

8004591840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8004591840 is about 89468.3845836058. The cubic root of 8004591840 is about 2000.3825801449.

The spelling of 8004591840 in words is "eight billion, four million, five hundred ninety-one thousand, eight hundred forty".