8004934080 has 1344 divisors, whose sum is σ = 36322406400. Its totient is φ = 1642291200.

The previous prime is 8004934039. The next prime is 8004934081. The reversal of 8004934080 is 804394008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004934081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258223665 + ... + 258223695.

It is an arithmetic number, because the mean of its divisors is an integer number (27025600).

Almost surely, 2^8004934080 is an apocalyptic number.

8004934080 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 8004934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161203200).

8004934080 is an abundant number, since it is smaller than the sum of its proper divisors (28317472320).

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

8004934080 is a wasteful number, since it uses less digits than its factorization.

8004934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8004934080 is about 89470.2971940968. The cubic root of 8004934080 is about 2000.4110888305.

The spelling of 8004934080 in words is "eight billion, four million, nine hundred thirty-four thousand, eighty".