198679004160 has 704 divisors, whose sum is σ = 786349842432. Its totient is φ = 41692299264.

The previous prime is 198679004159. The next prime is 198679004197. The reversal of 198679004160 is 61400976891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429112089 + ... + 429112551.

It is an arithmetic number, because the mean of its divisors is an integer number (1116974208).

Almost surely, 2^198679004160 is an apocalyptic number.

198679004160 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 198679004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393174921216).

198679004160 is an abundant number, since it is smaller than the sum of its proper divisors (587670838272).

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

198679004160 is a wasteful number, since it uses less digits than its factorization.

198679004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 198679004160 in words is "one hundred ninety-eight billion, six hundred seventy-nine million, four thousand, one hundred sixty".