360033606720 has 168 divisors, whose sum is σ = 1244653674264. Its totient is φ = 95521456128.

The previous prime is 360033606697. The next prime is 360033606749. The reversal of 360033606720 is 27606330063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 253919241216 + 106114365504 = 503904^2 + 325752^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250072 + ... + 884648.

It is an arithmetic number, because the mean of its divisors is an integer number (7408652823).

Almost surely, 2^360033606720 is an apocalyptic number.

360033606720 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 360033606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622326837132).

360033606720 is an abundant number, since it is smaller than the sum of its proper divisors (884620067544).

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

360033606720 is a wasteful number, since it uses less digits than its factorization.

360033606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634797 (or 634784 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 360033606720 its reverse (27606330063), we get a palindrome (387639936783).

The spelling of 360033606720 in words is "three hundred sixty billion, thirty-three million, six hundred six thousand, seven hundred twenty".