8480484084800 has 504 divisors, whose sum is σ = 25861289253696. Its totient is φ = 2680052244480.

The previous prime is 8480484084767. The next prime is 8480484084817. The reversal of 8480484084800 is 84804840848.

It is a super-2 number, since 2×8480484084800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 1489630754 + ... + 1489636446.

Almost surely, 2^{8480484084800} is an apocalyptic number.

8480484084800 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 8480484084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930644626848).

8480484084800 is an abundant number, since it is smaller than the sum of its proper divisors (17380805168896).

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

8480484084800 is a wasteful number, since it uses less digits than its factorization.

8480484084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

8480484084800 divided by its reverse (84804840848) gives a square (100 = 10²).

The spelling of 8480484084800 in words is "eight trillion, four hundred eighty billion, four hundred eighty-four million, eighty-four thousand, eight hundred".