198007689638400 has 960 divisors, whose sum is σ = 699333756739200. Its totient is φ = 49213446553600.

The previous prime is 198007689638377. The next prime is 198007689638419. The reversal of 198007689638400 is 4836986700891.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40155683935 + ... + 40155688865.

It is an arithmetic number, because the mean of its divisors is an integer number (728472663270).

Almost surely, 2^{198007689638400} is an apocalyptic number.

198007689638400 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 198007689638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349666878369600).

198007689638400 is an abundant number, since it is smaller than the sum of its proper divisors (501326067100800).

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

198007689638400 is a wasteful number, since it uses less digits than its factorization.

198007689638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 198007689638400 in words is "one hundred ninety-eight trillion, seven billion, six hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".