360720360 has 648 divisors, whose sum is σ = 1623167910. Its totient is φ = 69189120.

The previous prime is 360720329. The next prime is 360720361. The reversal of 360720360 is 63027063.

360720360 is a `hidden beast` number, since 3 + 607 + 20 + 36 + 0 = 666.

360720360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 155600676 + 205119684 = 12474^2 + 14322^2 .

It is not an unprimeable number, because it can be changed into a prime (360720361) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 27747714 + ... + 27747726.

Almost surely, 2^360720360 is an apocalyptic number.

360720360 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 360720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811583955).

360720360 is an abundant number, since it is smaller than the sum of its proper divisors (1262447550).

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

360720360 is a wasteful number, since it uses less digits than its factorization.

360720360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 360720360 is about 18992.6396269713. The cubic root of 360720360 is about 711.8528343316.

The spelling of 360720360 in words is "three hundred sixty million, seven hundred twenty thousand, three hundred sixty".