198992604630400 has 768 divisors, whose sum is σ = 624102717726720. Its totient is φ = 61122428928000.

The previous prime is 198992604630389. The next prime is 198992604630419. The reversal of 198992604630400 is 4036406299891.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

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, 719954629 + ... + 720230971.

It is an arithmetic number, because the mean of its divisors is an integer number (812633747040).

Almost surely, 2^{198992604630400} is an apocalyptic number.

198992604630400 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 198992604630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312051358863360).

198992604630400 is an abundant number, since it is smaller than the sum of its proper divisors (425110113096320).

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

198992604630400 is a wasteful number, since it uses less digits than its factorization.

198992604630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276483 (or 276466 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 198992604630400 in words is "one hundred ninety-eight trillion, nine hundred ninety-two billion, six hundred four million, six hundred thirty thousand, four hundred".