198264568320 has 2400 divisors, whose sum is σ = 948276806400. Its totient is φ = 39128334336.

The previous prime is 198264568319. The next prime is 198264568321. The reversal of 198264568320 is 23865462891.

198264568320 is a `hidden beast` number, since 1 + 9 + 8 + 264 + 56 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (198264568319) and next prime (198264568321).

It is a super-2 number, since 2×198264568320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198264568321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2509678041 + ... + 2509678119.

It is an arithmetic number, because the mean of its divisors is an integer number (395115336).

Almost surely, 2^198264568320 is an apocalyptic number.

198264568320 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 198264568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474138403200).

198264568320 is an abundant number, since it is smaller than the sum of its proper divisors (750012238080).

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

198264568320 is a wasteful number, since it uses less digits than its factorization.

198264568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 198264568320 in words is "one hundred ninety-eight billion, two hundred sixty-four million, five hundred sixty-eight thousand, three hundred twenty".