196743866872320 has 1280 divisors, whose sum is σ = 751969699430400. Its totient is φ = 48661745172480.

The previous prime is 196743866872313. The next prime is 196743866872331. The reversal of 196743866872320 is 23278668347691.

196743866872320 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 4 + 386 + 6 + 8 + 7 + 232 + 0 = 666.

196743866872320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5311784361 + ... + 5311821399.

It is an arithmetic number, because the mean of its divisors is an integer number (587476327680).

Almost surely, 2^{196743866872320} is an apocalyptic number.

196743866872320 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 196743866872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375984849715200).

196743866872320 is an abundant number, since it is smaller than the sum of its proper divisors (555225832558080).

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

196743866872320 is a wasteful number, since it uses less digits than its factorization.

196743866872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37206 (or 37184 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 196743866872320 in words is "one hundred ninety-six trillion, seven hundred forty-three billion, eight hundred sixty-six million, eight hundred seventy-two thousand, three hundred twenty".