198948372480 has 1920 divisors, whose sum is σ = 903677160960. Its totient is φ = 40768634880.

The previous prime is 198948372439. The next prime is 198948372509. The reversal of 198948372480 is 84273849891.

198948372480 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 4 + 83 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5376983022 + ... + 5376983058.

It is an arithmetic number, because the mean of its divisors is an integer number (470665188).

Almost surely, 2^198948372480 is an apocalyptic number.

198948372480 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 198948372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451838580480).

198948372480 is an abundant number, since it is smaller than the sum of its proper divisors (704728788480).

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

198948372480 is a wasteful number, since it uses less digits than its factorization.

198948372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 198948372480 in words is "one hundred ninety-eight billion, nine hundred forty-eight million, three hundred seventy-two thousand, four hundred eighty".