360071610900480 has 336 divisors, whose sum is σ = 1248826978353240. Its totient is φ = 95968715341824.

The previous prime is 360071610900457. The next prime is 360071610900481. The reversal of 360071610900480 is 84009016170063.

It is a happy number.

360071610900480 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 7 + 161 + 0 + 9 + 0 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350877034450944 + 9194576449536 = 18731712^2 + 3032256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (360071610900481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704953026 + ... + 705463614.

Almost surely, 2^{360071610900480} is an apocalyptic number.

360071610900480 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 360071610900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624413489176620).

360071610900480 is an abundant number, since it is smaller than the sum of its proper divisors (888755367452760).

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

360071610900480 is a wasteful number, since it uses less digits than its factorization.

360071610900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512539 (or 512512 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 360071610900480 in words is "three hundred sixty trillion, seventy-one billion, six hundred ten million, nine hundred thousand, four hundred eighty".