198068478399360 has 768 divisors, whose sum is σ = 690883548076800. Its totient is φ = 52287048253440.

The previous prime is 198068478399347. The next prime is 198068478399367. The reversal of 198068478399360 is 63993874860891.

198068478399360 is a `hidden beast` number, since 1 + 9 + 80 + 6 + 8 + 478 + 3 + 9 + 9 + 3 + 60 = 666.

It is a super-2 number, since 2×198068478399360² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198068478399360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198068478399367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268022297871 + ... + 268022298609.

It is an arithmetic number, because the mean of its divisors is an integer number (899587953225).

Almost surely, 2^{198068478399360} is an apocalyptic number.

198068478399360 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 198068478399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345441774038400).

198068478399360 is an abundant number, since it is smaller than the sum of its proper divisors (492815069677440).

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

198068478399360 is a wasteful number, since it uses less digits than its factorization.

198068478399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 198068478399360 in words is "one hundred ninety-eight trillion, sixty-eight billion, four hundred seventy-eight million, three hundred ninety-nine thousand, three hundred sixty".