360842895360 has 280 divisors, whose sum is σ = 1293621536196. Its totient is φ = 96223887360.

The previous prime is 360842895349. The next prime is 360842895377. The reversal of 360842895360 is 63598248063.

360842895360 is a `hidden beast` number, since 3 + 6 + 0 + 84 + 28 + 9 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352664948736 + 8177946624 = 593856^2 + 90432^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 360842895297 and 360842895306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3263380 + ... + 3372140.

Almost surely, 2^360842895360 is an apocalyptic number.

360842895360 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 360842895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646810768098).

360842895360 is an abundant number, since it is smaller than the sum of its proper divisors (932778640836).

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

360842895360 is an equidigital number, since it uses as much as digits as its factorization.

360842895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108804 (or 108771 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 360842895360 in words is "three hundred sixty billion, eight hundred forty-two million, eight hundred ninety-five thousand, three hundred sixty".