197493940800 has 1260 divisors, whose sum is σ = 803423149056. Its totient is φ = 47551795200.

The previous prime is 197493940789. The next prime is 197493940823. The reversal of 197493940800 is 8049394791.

197493940800 is a `hidden beast` number, since 197 + 49 + 3 + 9 + 408 + 0 + 0 = 666.

197493940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 179 ways as a sum of consecutive naturals, for example, 1555070337 + ... + 1555070463.

Almost surely, 2^197493940800 is an apocalyptic number.

197493940800 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 197493940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401711574528).

197493940800 is an abundant number, since it is smaller than the sum of its proper divisors (605929208256).

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

197493940800 is a wasteful number, since it uses less digits than its factorization.

197493940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 197493940800 in words is "one hundred ninety-seven billion, four hundred ninety-three million, nine hundred forty thousand, eight hundred".