198644382720 has 704 divisors, whose sum is σ = 815037450240. Its totient is φ = 44941049856.

The previous prime is 198644382707. The next prime is 198644382731. The reversal of 198644382720 is 27283446891.

198644382720 is a `hidden beast` number, since 198 + 6 + 4 + 4 + 382 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99670044 + ... + 99672036.

Almost surely, 2^198644382720 is an apocalyptic number.

198644382720 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 198644382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407518725120).

198644382720 is an abundant number, since it is smaller than the sum of its proper divisors (616393067520).

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

198644382720 is a wasteful number, since it uses less digits than its factorization.

198644382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 198644382720 in words is "one hundred ninety-eight billion, six hundred forty-four million, three hundred eighty-two thousand, seven hundred twenty".