8004008000480 has 48 divisors (see below), whose sum is σ = 18910424332800. Its totient is φ = 3201441434112.

The previous prime is 8004008000453. The next prime is 8004008000503. The reversal of 8004008000480 is 840008004008.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938017 + ... + 4445663.

It is an arithmetic number, because the mean of its divisors is an integer number (393967173600).

Almost surely, 2^{8004008000480} is an apocalyptic number.

8004008000480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004008000480 is an abundant number, since it is smaller than the sum of its proper divisors (10906416332320).

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

8004008000480 is a wasteful number, since it uses less digits than its factorization.

8004008000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527611 (or 2527603 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 8004008000480 in words is "eight trillion, four billion, eight million, four hundred eighty", and thus it is an aban number.