360063564940800 has 3240 divisors, whose sum is σ = 1648399440185784. Its totient is φ = 77444003266560.

The previous prime is 360063564940789. The next prime is 360063564940801. The reversal of 360063564940800 is 8049465360063.

360063564940800 is a `hidden beast` number, since 36 + 0 + 0 + 6 + 3 + 564 + 9 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360063564940801) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 69956003827 + ... + 69956008973.

Almost surely, 2^{360063564940800} is an apocalyptic number.

360063564940800 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 360063564940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824199720092892).

360063564940800 is an abundant number, since it is smaller than the sum of its proper divisors (1288335875244984).

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

360063564940800 is an frugal number, since it uses more digits than its factorization.

360063564940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 360063564940800 in words is "three hundred sixty trillion, sixty-three billion, five hundred sixty-four million, nine hundred forty thousand, eight hundred".