36632366146200 has 384 divisors, whose sum is σ = 126452433312000. Its totient is φ = 8697576806400.

The previous prime is 36632366146199. The next prime is 36632366146319. The reversal of 36632366146200 is 264166323663.

It is a self number, because there is not a number n which added to its sum of digits gives 36632366146200.

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 95 ways as a sum of consecutive naturals, for example, 104573742 + ... + 104923458.

It is an arithmetic number, because the mean of its divisors is an integer number (329303211750).

Almost surely, 2^{36632366146200} is an apocalyptic number.

36632366146200 is a gapful number since it is divisible by the number (30) 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 36632366146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226216656000).

36632366146200 is an abundant number, since it is smaller than the sum of its proper divisors (89820067165800).

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

36632366146200 is a wasteful number, since it uses less digits than its factorization.

36632366146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350075 (or 350066 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 36632366146200 in words is "thirty-six trillion, six hundred thirty-two billion, three hundred sixty-six million, one hundred forty-six thousand, two hundred".