198689863680 has 2304 divisors, whose sum is σ = 958168673280. Its totient is φ = 38220595200.

The previous prime is 198689863667. The next prime is 198689863703. The reversal of 198689863680 is 86368986891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198689863599 and 198689863608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3257210850 + ... + 3257210910.

It is an arithmetic number, because the mean of its divisors is an integer number (415871820).

Almost surely, 2^198689863680 is an apocalyptic number.

198689863680 is a gapful number since it is divisible by the number (10) 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 198689863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479084336640).

198689863680 is an abundant number, since it is smaller than the sum of its proper divisors (759478809600).

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

198689863680 is a wasteful number, since it uses less digits than its factorization.

198689863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 198689863680 in words is "one hundred ninety-eight billion, six hundred eighty-nine million, eight hundred sixty-three thousand, six hundred eighty".