36818912188800 has 3456 divisors, whose sum is σ = 166620421324800. Its totient is φ = 7908229324800.

The previous prime is 36818912188759. The next prime is 36818912188801. The reversal of 36818912188800 is 888121981863.

36818912188800 is a `hidden beast` number, since 368 + 1 + 8 + 9 + 12 + 188 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36818912188801) 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 431 ways as a sum of consecutive naturals, for example, 289912694337 + ... + 289912694463.

Almost surely, 2^{36818912188800} is an apocalyptic number.

36818912188800 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 36818912188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83310210662400).

36818912188800 is an abundant number, since it is smaller than the sum of its proper divisors (129801509136000).

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

36818912188800 is a wasteful number, since it uses less digits than its factorization.

36818912188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 36818912188800 in words is "thirty-six trillion, eight hundred eighteen billion, nine hundred twelve million, one hundred eighty-eight thousand, eight hundred".