197640895200 has 576 divisors, whose sum is σ = 769360757760. Its totient is φ = 43088855040.

The previous prime is 197640895181. The next prime is 197640895213. The reversal of 197640895200 is 2598046791.

It is a super-5 number, since 5×197640895200⁵ (a number of 58 digits) contains 55555 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, 238408386 + ... + 238409214.

It is an arithmetic number, because the mean of its divisors is an integer number (1335695760).

Almost surely, 2^197640895200 is an apocalyptic number.

197640895200 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 197640895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384680378880).

197640895200 is an abundant number, since it is smaller than the sum of its proper divisors (571719862560).

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

197640895200 is a wasteful number, since it uses less digits than its factorization.

197640895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 197640895200 in words is "one hundred ninety-seven billion, six hundred forty million, eight hundred ninety-five thousand, two hundred".