198230000760 has 448 divisors, whose sum is σ = 772446883680. Its totient is φ = 45227704320.

The previous prime is 198230000753. The next prime is 198230000779. The reversal of 198230000760 is 67000032891.

It is a super-3 number, since 3×198230000760³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5434744 + ... + 5471096.

Almost surely, 2^198230000760 is an apocalyptic number.

198230000760 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 198230000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386223441840).

198230000760 is an abundant number, since it is smaller than the sum of its proper divisors (574216882920).

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

198230000760 is a wasteful number, since it uses less digits than its factorization.

198230000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36410 (or 36391 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 198230000760 in words is "one hundred ninety-eight billion, two hundred thirty million, seven hundred sixty", and thus it is an aban number.