198774074880 has 240 divisors, whose sum is σ = 728906699664. Its totient is φ = 49888296960.

The previous prime is 198774074857. The next prime is 198774074881. The reversal of 198774074880 is 88470477891.

198774074880 is a `hidden beast` number, since 1 + 9 + 87 + 74 + 0 + 7 + 488 + 0 = 666.

198774074880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×198774074880² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198774074881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137935 + ... + 645425.

Almost surely, 2^198774074880 is an apocalyptic number.

198774074880 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 198774074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364453349832).

198774074880 is an abundant number, since it is smaller than the sum of its proper divisors (530132624784).

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

198774074880 is a wasteful number, since it uses less digits than its factorization.

198774074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507537 (or 507518 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 198774074880 in words is "one hundred ninety-eight billion, seven hundred seventy-four million, seventy-four thousand, eight hundred eighty".