360075648960 has 168 divisors, whose sum is σ = 1238789044896. Its totient is φ = 95998556160.

The previous prime is 360075648929. The next prime is 360075648979. The reversal of 360075648960 is 69846570063.

360075648960 is a `hidden beast` number, since 36 + 0 + 0 + 75 + 6 + 489 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 360075648897 and 360075648906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15906450 + ... + 15929070.

Almost surely, 2^360075648960 is an apocalyptic number.

360075648960 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 360075648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619394522448).

360075648960 is an abundant number, since it is smaller than the sum of its proper divisors (878713395936).

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

360075648960 is a wasteful number, since it uses less digits than its factorization.

360075648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28171 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 360075648960 in words is "three hundred sixty billion, seventy-five million, six hundred forty-eight thousand, nine hundred sixty".