360222288480 has 384 divisors, whose sum is σ = 1281396412800. Its totient is φ = 94500421632.

The previous prime is 360222288457. The next prime is 360222288521. The reversal of 360222288480 is 84882222063.

360222288480 is a `hidden beast` number, since 360 + 2 + 2 + 2 + 288 + 4 + 8 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72491436 + ... + 72496404.

It is an arithmetic number, because the mean of its divisors is an integer number (3336969825).

Almost surely, 2^360222288480 is an apocalyptic number.

360222288480 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 360222288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640698206400).

360222288480 is an abundant number, since it is smaller than the sum of its proper divisors (921174124320).

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

360222288480 is a wasteful number, since it uses less digits than its factorization.

360222288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 360222288480 in words is "three hundred sixty billion, two hundred twenty-two million, two hundred eighty-eight thousand, four hundred eighty".