198661302720 has 504 divisors, whose sum is σ = 711780572880. Its totient is φ = 50853888000.

The previous prime is 198661302667. The next prime is 198661302727. The reversal of 198661302720 is 27203166891.

198661302720 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 613 + 0 + 2 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198661302727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495414520 + ... + 495414920.

Almost surely, 2^198661302720 is an apocalyptic number.

198661302720 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 198661302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355890286440).

198661302720 is an abundant number, since it is smaller than the sum of its proper divisors (513119270160).

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

198661302720 is a wasteful number, since it uses less digits than its factorization.

198661302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 198661302720 in words is "one hundred ninety-eight billion, six hundred sixty-one million, three hundred two thousand, seven hundred twenty".