198804660768 has 288 divisors, whose sum is σ = 670832547840. Its totient is φ = 56734629120.

The previous prime is 198804660767. The next prime is 198804660773. The reversal of 198804660768 is 867066408891.

198804660768 is a `hidden beast` number, since 1 + 98 + 80 + 466 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198804660767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63738313 + ... + 63741431.

It is an arithmetic number, because the mean of its divisors is an integer number (2329279680).

Almost surely, 2^198804660768 is an apocalyptic number.

198804660768 is a gapful number since it is divisible by the number (18) 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 198804660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335416273920).

198804660768 is an abundant number, since it is smaller than the sum of its proper divisors (472027887072).

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

198804660768 is a wasteful number, since it uses less digits than its factorization.

198804660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 198804660768 in words is "one hundred ninety-eight billion, eight hundred four million, six hundred sixty thousand, seven hundred sixty-eight".