360224810064 has 480 divisors, whose sum is σ = 1221961075200. Its totient is φ = 101292871680.

The previous prime is 360224810063. The next prime is 360224810081. The reversal of 360224810064 is 460018422063.

360224810064 is a `hidden beast` number, since 3 + 602 + 2 + 48 + 1 + 0 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360224810063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691410124 + ... + 691410644.

It is an arithmetic number, because the mean of its divisors is an integer number (2545752240).

Almost surely, 2^360224810064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360224810064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610980537600).

360224810064 is an abundant number, since it is smaller than the sum of its proper divisors (861736265136).

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

360224810064 is a wasteful number, since it uses less digits than its factorization.

360224810064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 360224810064 in words is "three hundred sixty billion, two hundred twenty-four million, eight hundred ten thousand, sixty-four".