196845344640 has 960 divisors, whose sum is σ = 853887687840. Its totient is φ = 42324000768.

The previous prime is 196845344639. The next prime is 196845344693. The reversal of 196845344640 is 46443548691.

196845344640 is a `hidden beast` number, since 1 + 9 + 68 + 4 + 534 + 4 + 6 + 40 = 666.

196845344640 is digitally balanced in base 2, 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 (960).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 104871382 + ... + 104873258.

Almost surely, 2^196845344640 is an apocalyptic number.

196845344640 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 196845344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426943843920).

196845344640 is an abundant number, since it is smaller than the sum of its proper divisors (657042343200).

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

196845344640 is a wasteful number, since it uses less digits than its factorization.

196845344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 196845344640 in words is "one hundred ninety-six billion, eight hundred forty-five million, three hundred forty-four thousand, six hundred forty".