198336478680 has 384 divisors, whose sum is σ = 697355568000. Its totient is φ = 48737525760.

The previous prime is 198336478673. The next prime is 198336478693. The reversal of 198336478680 is 86874633891.

198336478680 is a `hidden beast` number, since 1 + 9 + 83 + 3 + 6 + 478 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194256570 + ... + 194257590.

It is an arithmetic number, because the mean of its divisors is an integer number (1816030125).

Almost surely, 2^198336478680 is an apocalyptic number.

198336478680 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 198336478680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348677784000).

198336478680 is an abundant number, since it is smaller than the sum of its proper divisors (499019089320).

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

198336478680 is a wasteful number, since it uses less digits than its factorization.

198336478680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 198336478680 in words is "one hundred ninety-eight billion, three hundred thirty-six million, four hundred seventy-eight thousand, six hundred eighty".