198297783840 has 384 divisors, whose sum is σ = 714694337280. Its totient is φ = 45783318528.

The previous prime is 198297783839. The next prime is 198297783869. The reversal of 198297783840 is 48387792891.

198297783840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×198297783840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32563516 + ... + 32569604.

It is an arithmetic number, because the mean of its divisors is an integer number (1861183170).

Almost surely, 2^198297783840 is an apocalyptic number.

198297783840 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 198297783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357347168640).

198297783840 is an abundant number, since it is smaller than the sum of its proper divisors (516396553440).

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

198297783840 is a wasteful number, since it uses less digits than its factorization.

198297783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 198297783840 in words is "one hundred ninety-eight billion, two hundred ninety-seven million, seven hundred eighty-three thousand, eight hundred forty".