198197090588640 has 768 divisors, whose sum is σ = 745495646837760. Its totient is φ = 43629087621120.

The previous prime is 198197090588621. The next prime is 198197090588657. The reversal of 198197090588640 is 46885090791891.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1327354306 + ... + 1327503614.

It is an arithmetic number, because the mean of its divisors is an integer number (970697456820).

Almost surely, 2^{198197090588640} is an apocalyptic number.

198197090588640 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 198197090588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372747823418880).

198197090588640 is an abundant number, since it is smaller than the sum of its proper divisors (547298556249120).

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

198197090588640 is a wasteful number, since it uses less digits than its factorization.

198197090588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149667 (or 149659 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 75.

The spelling of 198197090588640 in words is "one hundred ninety-eight trillion, one hundred ninety-seven billion, ninety million, five hundred eighty-eight thousand, six hundred forty".