8198415744 has 128 divisors (see below), whose sum is σ = 22633359360. Its totient is φ = 2626560000.

The previous prime is 8198415737. The next prime is 8198415749. The reversal of 8198415744 is 4475148918.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8198415744² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198415749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795224 + ... + 1799784.

It is an arithmetic number, because the mean of its divisors is an integer number (176823120).

Almost surely, 2^8198415744 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 8198415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316679680).

8198415744 is an abundant number, since it is smaller than the sum of its proper divisors (14434943616).

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

8198415744 is a wasteful number, since it uses less digits than its factorization.

8198415744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4748 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 8198415744 is about 90545.1033684318. The cubic root of 8198415744 is about 2016.3998010311.

The spelling of 8198415744 in words is "eight billion, one hundred ninety-eight million, four hundred fifteen thousand, seven hundred forty-four".