360365967360 has 1152 divisors, whose sum is σ = 1568614844160. Its totient is φ = 77460406272.

The previous prime is 360365967319. The next prime is 360365967361. The reversal of 360365967360 is 63769563063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 360365967297 and 360365967306.

It is not an unprimeable number, because it can be changed into a prime (360365967361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296109472 + ... + 296110688.

It is an arithmetic number, because the mean of its divisors is an integer number (1361644830).

Almost surely, 2^360365967360 is an apocalyptic number.

360365967360 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 360365967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784307422080).

360365967360 is an abundant number, since it is smaller than the sum of its proper divisors (1208248876800).

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

360365967360 is a wasteful number, since it uses less digits than its factorization.

360365967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 360365967360 in words is "three hundred sixty billion, three hundred sixty-five million, nine hundred sixty-seven thousand, three hundred sixty".