196318577664 has 660 divisors, whose sum is σ = 666226511104. Its totient is φ = 57480192000.

The previous prime is 196318577641. The next prime is 196318577669. The reversal of 196318577664 is 466775813691.

196318577664 is a `hidden beast` number, since 196 + 318 + 5 + 7 + 76 + 64 = 666.

196318577664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196318577669) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 311122629 + ... + 311123259.

Almost surely, 2^196318577664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196318577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333113255552).

196318577664 is an abundant number, since it is smaller than the sum of its proper divisors (469907933440).

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

196318577664 is a wasteful number, since it uses less digits than its factorization.

196318577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 678 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 196318577664 in words is "one hundred ninety-six billion, three hundred eighteen million, five hundred seventy-seven thousand, six hundred sixty-four".