8198393760 has 144 divisors (see below), whose sum is σ = 28627863264. Its totient is φ = 2135379456.

The previous prime is 8198393747. The next prime is 8198393761. The reversal of 8198393760 is 673938918.

8198393760 is a `hidden beast` number, since 8 + 198 + 393 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8198393697 and 8198393706.

It is not an unprimeable number, because it can be changed into a prime (8198393761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4282 + ... + 128121.

It is an arithmetic number, because the mean of its divisors is an integer number (198804606).

Almost surely, 2^8198393760 is an apocalyptic number.

8198393760 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 8198393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313931632).

8198393760 is an abundant number, since it is smaller than the sum of its proper divisors (20429469504).

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

8198393760 is a wasteful number, since it uses less digits than its factorization.

8198393760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132467 (or 132456 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 8198393760 is about 90544.9819702892. The cubic root of 8198393760 is about 2016.3979987084.

The spelling of 8198393760 in words is "eight billion, one hundred ninety-eight million, three hundred ninety-three thousand, seven hundred sixty".