196463534400 has 1344 divisors, whose sum is σ = 873704079360. Its totient is φ = 41969664000.

The previous prime is 196463534387. The next prime is 196463534411. The reversal of 196463534400 is 4435364691.

196463534400 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 635 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 326894100 + ... + 326894700.

It is an arithmetic number, because the mean of its divisors is an integer number (650077440).

Almost surely, 2^196463534400 is an apocalyptic number.

196463534400 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 196463534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436852039680).

196463534400 is an abundant number, since it is smaller than the sum of its proper divisors (677240544960).

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

196463534400 is a wasteful number, since it uses less digits than its factorization.

196463534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 196463534400 in words is "one hundred ninety-six billion, four hundred sixty-three million, five hundred thirty-four thousand, four hundred".