198475768960 has 128 divisors (see below), whose sum is σ = 559756938240. Its totient is φ = 65853665280.

The previous prime is 198475768949. The next prime is 198475768963. The reversal of 198475768960 is 69867574891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 198475768960.

It is not an unprimeable number, because it can be changed into a prime (198475768963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575679 + ... + 853438.

It is an arithmetic number, because the mean of its divisors is an integer number (4373101080).

Almost surely, 2^198475768960 is an apocalyptic number.

198475768960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198475768960 is an abundant number, since it is smaller than the sum of its proper divisors (361281169280).

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

198475768960 is a wasteful number, since it uses less digits than its factorization.

198475768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429174 (or 1429162 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 70.

The spelling of 198475768960 in words is "one hundred ninety-eight billion, four hundred seventy-five million, seven hundred sixty-eight thousand, nine hundred sixty".