197633872000 has 256 divisors, whose sum is σ = 515457146880. Its totient is φ = 75269836800.

The previous prime is 197633871997. The next prime is 197633872027. The reversal of 197633872000 is 278336791.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27820449 + ... + 27827551.

It is an arithmetic number, because the mean of its divisors is an integer number (2013504480).

Almost surely, 2^197633872000 is an apocalyptic number.

197633872000 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 197633872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257728573440).

197633872000 is an abundant number, since it is smaller than the sum of its proper divisors (317823274880).

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

197633872000 is an equidigital number, since it uses as much as digits as its factorization.

197633872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 197633872000 in words is "one hundred ninety-seven billion, six hundred thirty-three million, eight hundred seventy-two thousand".