36645303895200 has 8640 divisors, whose sum is σ = 198776060017920. Its totient is φ = 6491429683200.

The previous prime is 36645303895199. The next prime is 36645303895273. The reversal of 36645303895200 is 259830354663.

36645303895200 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 5 + 30 + 3 + 89 + 520 + 0 = 666.

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 polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1263631168786 + ... + 1263631168814.

It is an arithmetic number, because the mean of its divisors is an integer number (23006488428).

Almost surely, 2^{36645303895200} is an apocalyptic number.

36645303895200 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 36645303895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99388030008960).

36645303895200 is an abundant number, since it is smaller than the sum of its proper divisors (162130756122720).

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

36645303895200 is a wasteful number, since it uses less digits than its factorization.

36645303895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 36645303895200 in words is "thirty-six trillion, six hundred forty-five billion, three hundred three million, eight hundred ninety-five thousand, two hundred".