36066207744 has 1008 divisors, whose sum is σ = 137766201300. Its totient is φ = 9364045824.

The previous prime is 36066207739. The next prime is 36066207791. The reversal of 36066207744 is 44770266063.

It can be written as a sum of positive squares in 2 ways, for example, as 35151750144 + 914457600 = 187488^2 + 30240^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 36066207744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1243662322 + ... + 1243662350.

Almost surely, 2^36066207744 is an apocalyptic number.

36066207744 is a gapful number since it is divisible by the number (34) 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 36066207744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68883100650).

36066207744 is an abundant number, since it is smaller than the sum of its proper divisors (101699993556).

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

36066207744 is an equidigital number, since it uses as much as digits as its factorization.

36066207744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 36066207744 in words is "thirty-six billion, sixty-six million, two hundred seven thousand, seven hundred forty-four".