36044559360 has 792 divisors, whose sum is σ = 137788564680. Its totient is φ = 9029615616.

The previous prime is 36044559359. The next prime is 36044559371. The reversal of 36044559360 is 6395544063.

36044559360 is a `hidden beast` number, since 3 + 60 + 4 + 4 + 559 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10218783744 + 25825775616 = 101088^2 + 160704^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 974177262 + ... + 974177298.

Almost surely, 2^36044559360 is an apocalyptic number.

36044559360 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 36044559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68894282340).

36044559360 is an abundant number, since it is smaller than the sum of its proper divisors (101744005320).

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

36044559360 is an frugal number, since it uses more digits than its factorization.

36044559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 36044559360 in words is "thirty-six billion, forty-four million, five hundred fifty-nine thousand, three hundred sixty".