198671964480 has 672 divisors, whose sum is σ = 760864485888. Its totient is φ = 47178547200.

The previous prime is 198671964437. The next prime is 198671964509. The reversal of 198671964480 is 84469176891.

198671964480 is a `hidden beast` number, since 1 + 9 + 8 + 67 + 1 + 96 + 4 + 480 = 666.

It is a super-3 number, since 3×198671964480³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626725282 + ... + 626725598.

Almost surely, 2^198671964480 is an apocalyptic number.

198671964480 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 198671964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380432242944).

198671964480 is an abundant number, since it is smaller than the sum of its proper divisors (562192521408).

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

198671964480 is a wasteful number, since it uses less digits than its factorization.

198671964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 198671964480 in words is "one hundred ninety-eight billion, six hundred seventy-one million, nine hundred sixty-four thousand, four hundred eighty".