198733232640 has 320 divisors, whose sum is σ = 658197872640. Its totient is φ = 51100139520.

The previous prime is 198733232629. The next prime is 198733232647. The reversal of 198733232640 is 46232337891.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×198733232640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 198733232640.

It is not an unprimeable number, because it can be changed into a prime (198733232647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73089201 + ... + 73091919.

It is an arithmetic number, because the mean of its divisors is an integer number (2056868352).

Almost surely, 2^198733232640 is an apocalyptic number.

198733232640 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 198733232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329098936320).

198733232640 is an abundant number, since it is smaller than the sum of its proper divisors (459464640000).

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

198733232640 is a wasteful number, since it uses less digits than its factorization.

198733232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 198733232640 in words is "one hundred ninety-eight billion, seven hundred thirty-three million, two hundred thirty-two thousand, six hundred forty".