197331264000 has 1440 divisors, whose sum is σ = 818895181104. Its totient is φ = 45386956800.

The previous prime is 197331263999. The next prime is 197331264007. The reversal of 197331264000 is 462133791.

197331264000 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 3 + 1 + 2 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67371264 + 197263892736 = 8208^2 + 444144^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197331264007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2703167964 + ... + 2703168036.

Almost surely, 2^197331264000 is an apocalyptic number.

197331264000 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 197331264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409447590552).

197331264000 is an abundant number, since it is smaller than the sum of its proper divisors (621563917104).

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

197331264000 is a wasteful number, since it uses less digits than its factorization.

197331264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 197331264000 its reverse (462133791), we get a palindrome (197793397791).

The spelling of 197331264000 in words is "one hundred ninety-seven billion, three hundred thirty-one million, two hundred sixty-four thousand".