8198620416 has 270 divisors, whose sum is σ = 28441641690. Its totient is φ = 2342172672.

The previous prime is 8198620387. The next prime is 8198620427. The reversal of 8198620416 is 6140268918.

8198620416 is a `hidden beast` number, since 8 + 1 + 9 + 8 + 620 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4292870400 + 3905750016 = 65520^2 + 62496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1012030 + ... + 1020098.

Almost surely, 2^8198620416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8198620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220820845).

8198620416 is an abundant number, since it is smaller than the sum of its proper divisors (20243021274).

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

8198620416 is an equidigital number, since it uses as much as digits as its factorization.

8198620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8198620416 is about 90546.2335826289. The cubic root of 8198620416 is about 2016.4165805797.

The spelling of 8198620416 in words is "eight billion, one hundred ninety-eight million, six hundred twenty thousand, four hundred sixteen".