198379964160 has 720 divisors, whose sum is σ = 824728588992. Its totient is φ = 44590694400.

The previous prime is 198379964141. The next prime is 198379964171. The reversal of 198379964160 is 61469973891.

198379964160 is a `hidden beast` number, since 19 + 8 + 379 + 96 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×198379964160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44269120 + ... + 44273600.

Almost surely, 2^198379964160 is an apocalyptic number.

198379964160 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 198379964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412364294496).

198379964160 is an abundant number, since it is smaller than the sum of its proper divisors (626348624832).

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

198379964160 is an equidigital number, since it uses as much as digits as its factorization.

198379964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 198379964160 in words is "one hundred ninety-eight billion, three hundred seventy-nine million, nine hundred sixty-four thousand, one hundred sixty".