36810226483200 has 720 divisors, whose sum is σ = 135569336479360. Its totient is φ = 9792116490240.

The previous prime is 36810226483171. The next prime is 36810226483243. The reversal of 36810226483200 is 238462201863.

36810226483200 is a `hidden beast` number, since 3 + 6 + 8 + 102 + 264 + 83 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4788629757 + ... + 4788637443.

Almost surely, 2^{36810226483200} is an apocalyptic number.

36810226483200 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 36810226483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67784668239680).

36810226483200 is an abundant number, since it is smaller than the sum of its proper divisors (98759109996160).

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

36810226483200 is an equidigital number, since it uses as much as digits as its factorization.

36810226483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 36810226483200 in words is "thirty-six trillion, eight hundred ten billion, two hundred twenty-six million, four hundred eighty-three thousand, two hundred".