360612052241760 has 1440 divisors, whose sum is σ = 1515611395289376. Its totient is φ = 80364972441600.

The previous prime is 360612052241759. The next prime is 360612052241761. The reversal of 360612052241760 is 67142250216063.

360612052241760 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 1 + 20 + 522 + 41 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (360612052241759) and next prime (360612052241761).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360612052241761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1146167670 + ... + 1146482250.

Almost surely, 2^{360612052241760} is an apocalyptic number.

360612052241760 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 360612052241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757805697644688).

360612052241760 is an abundant number, since it is smaller than the sum of its proper divisors (1154999343047616).

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

360612052241760 is a wasteful number, since it uses less digits than its factorization.

360612052241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314690 (or 314662 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 360612052241760 in words is "three hundred sixty trillion, six hundred twelve billion, fifty-two million, two hundred forty-one thousand, seven hundred sixty".