8198729424 has 90 divisors (see below), whose sum is σ = 23387303030. Its totient is φ = 2681213184.

The previous prime is 8198729423. The next prime is 8198729437. The reversal of 8198729424 is 4249278918.

8198729424 is a `hidden beast` number, since 8 + 198 + 7 + 29 + 424 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3938817600 + 4259911824 = 62760^2 + 65268^2 .

It is a super-3 number, since 3×8198729424³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198729423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 394362 + ... + 414630.

Almost surely, 2^8198729424 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 8198729424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693651515).

8198729424 is an abundant number, since it is smaller than the sum of its proper divisors (15188573606).

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

8198729424 is a wasteful number, since it uses less digits than its factorization.

8198729424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20389 (or 20327 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 8198729424 is about 90546.8355272563. The cubic root of 8198729424 is about 2016.4255172281.

The spelling of 8198729424 in words is "eight billion, one hundred ninety-eight million, seven hundred twenty-nine thousand, four hundred twenty-four".