36261820800 has 288 divisors, whose sum is σ = 134185604280. Its totient is φ = 9669611520.

The previous prime is 36261820757. The next prime is 36261820801. The reversal of 36261820800 is 802816263.

36261820800 is a `hidden beast` number, since 3 + 626 + 1 + 8 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36261820801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 754284 + ... + 800916.

Almost surely, 2^36261820800 is an apocalyptic number.

36261820800 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 36261820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092802140).

36261820800 is an abundant number, since it is smaller than the sum of its proper divisors (97923783480).

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

36261820800 is an equidigital number, since it uses as much as digits as its factorization.

36261820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46672 (or 46643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36261820800 in words is "thirty-six billion, two hundred sixty-one million, eight hundred twenty thousand, eight hundred".