6500198605824 has 3520 divisors, whose sum is σ = 28350927728640. Its totient is φ = 1429450260480.

The previous prime is 6500198605811. The next prime is 6500198605829. The reversal of 6500198605824 is 4285068910056.

6500198605824 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 1 + 9 + 8 + 605 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6500198605829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47446705084 + ... + 47446705220.

It is an arithmetic number, because the mean of its divisors is an integer number (8054240832).

Almost surely, 2^{6500198605824} is an apocalyptic number.

6500198605824 is a gapful number since it is divisible by the number (64) 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 6500198605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175463864320).

6500198605824 is an abundant number, since it is smaller than the sum of its proper divisors (21850729122816).

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

6500198605824 is a wasteful number, since it uses less digits than its factorization.

6500198605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6500198605824 in words is "six trillion, five hundred billion, one hundred ninety-eight million, six hundred five thousand, eight hundred twenty-four".