8084928484080 has 480 divisors, whose sum is σ = 31217496380928. Its totient is φ = 1836887500800.

The previous prime is 8084928484037. The next prime is 8084928484093. The reversal of 8084928484080 is 804848294808.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8084928483999 and 8084928484017.

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, 756231535 + ... + 756242225.

Almost surely, 2^{8084928484080} is an apocalyptic number.

8084928484080 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 8084928484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608748190464).

8084928484080 is an abundant number, since it is smaller than the sum of its proper divisors (23132567896848).

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

8084928484080 is a wasteful number, since it uses less digits than its factorization.

8084928484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 8084928484080 in words is "eight trillion, eighty-four billion, nine hundred twenty-eight million, four hundred eighty-four thousand, eighty".