8198536500 has 720 divisors, whose sum is σ = 33741227520. Its totient is φ = 1696464000.

The previous prime is 8198536483. The next prime is 8198536513. The reversal of 8198536500 is 56358918.

8198536500 is a `hidden beast` number, since 8 + 1 + 98 + 53 + 6 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34303381 + ... + 34303619.

It is an arithmetic number, because the mean of its divisors is an integer number (46862816).

Almost surely, 2^8198536500 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 8198536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870613760).

8198536500 is an abundant number, since it is smaller than the sum of its proper divisors (25542691020).

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

8198536500 is a wasteful number, since it uses less digits than its factorization.

8198536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8198536500 is about 90545.7701938638. The cubic root of 8198536500 is about 2016.4097009592.

The spelling of 8198536500 in words is "eight billion, one hundred ninety-eight million, five hundred thirty-six thousand, five hundred".