197264833920 has 2688 divisors, whose sum is σ = 985714617600. Its totient is φ = 36548444160.

The previous prime is 197264833873. The next prime is 197264833921. The reversal of 197264833920 is 29338462791.

197264833920 is a `hidden beast` number, since 1 + 9 + 72 + 6 + 483 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197264833921) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10382359671 + ... + 10382359689.

Almost surely, 2^197264833920 is an apocalyptic number.

197264833920 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 197264833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492857308800).

197264833920 is an abundant number, since it is smaller than the sum of its proper divisors (788449783680).

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

197264833920 is a wasteful number, since it uses less digits than its factorization.

197264833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 197264833920 in words is "one hundred ninety-seven billion, two hundred sixty-four million, eight hundred thirty-three thousand, nine hundred twenty".