8484004800000 has 720 divisors, whose sum is σ = 31739772368304. Its totient is φ = 2262297600000.

The previous prime is 8484004799989. The next prime is 8484004800043. The reversal of 8484004800000 is 84004848.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388789090 + ... + 388810910.

Almost surely, 2^{8484004800000} is an apocalyptic number.

8484004800000 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 8484004800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869886184152).

8484004800000 is an abundant number, since it is smaller than the sum of its proper divisors (23255767568304).

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

8484004800000 is an frugal number, since it uses more digits than its factorization.

8484004800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21879 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 8484004800000 its reverse (84004848), we get a palindrome (8484088804848).

The spelling of 8484004800000 in words is "eight trillion, four hundred eighty-four billion, four million, eight hundred thousand".