197913832646880 has 288 divisors, whose sum is σ = 725229293443200. Its totient is φ = 45236420490240.

The previous prime is 197913832646839. The next prime is 197913832646909. The reversal of 197913832646880 is 88646238319791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620443415 + ... + 1620565545.

It is an arithmetic number, because the mean of its divisors is an integer number (2518157268900).

Almost surely, 2^{197913832646880} is an apocalyptic number.

197913832646880 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 197913832646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362614646721600).

197913832646880 is an abundant number, since it is smaller than the sum of its proper divisors (527315460796320).

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

197913832646880 is a wasteful number, since it uses less digits than its factorization.

197913832646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191062 (or 191047 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 197913832646880 in words is "one hundred ninety-seven trillion, nine hundred thirteen billion, eight hundred thirty-two million, six hundred forty-six thousand, eight hundred eighty".