198678271680 has 672 divisors, whose sum is σ = 798677827584. Its totient is φ = 44395610112.

The previous prime is 198678271657. The next prime is 198678271681. The reversal of 198678271680 is 86172876891.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (198678271681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186902829 + ... + 186903891.

It is an arithmetic number, because the mean of its divisors is an integer number (1188508672).

Almost surely, 2^198678271680 is an apocalyptic number.

198678271680 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 198678271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399338913792).

198678271680 is an abundant number, since it is smaller than the sum of its proper divisors (599999555904).

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

198678271680 is a wasteful number, since it uses less digits than its factorization.

198678271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 198678271680 in words is "one hundred ninety-eight billion, six hundred seventy-eight million, two hundred seventy-one thousand, six hundred eighty".