8198484480 has 480 divisors, whose sum is σ = 29691028224. Its totient is φ = 2089156608.

The previous prime is 8198484479. The next prime is 8198484493. The reversal of 8198484480 is 844848918.

It is a happy number.

8198484480 is a `hidden beast` number, since 8 + 1 + 9 + 84 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72552904 + ... + 72553016.

Almost surely, 2^8198484480 is an apocalyptic number.

8198484480 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 8198484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845514112).

8198484480 is an abundant number, since it is smaller than the sum of its proper divisors (21492543744).

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

8198484480 is a wasteful number, since it uses less digits than its factorization.

8198484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 8198484480 is about 90545.4829353734. The cubic root of 8198484480 is about 2016.4054362202.

It can be divided in two parts, 81984 and 84480, that added together give a square (166464 = 408²).

The spelling of 8198484480 in words is "eight billion, one hundred ninety-eight million, four hundred eighty-four thousand, four hundred eighty".