360641820000 has 960 divisors, whose sum is σ = 1485518082048. Its totient is φ = 74400000000.

The previous prime is 360641819959. The next prime is 360641820001. The reversal of 360641820000 is 28146063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 360641820000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360641820001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1159619845 + ... + 1159620155.

Almost surely, 2^360641820000 is an apocalyptic number.

360641820000 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 360641820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742759041024).

360641820000 is an abundant number, since it is smaller than the sum of its proper divisors (1124876262048).

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

360641820000 is a wasteful number, since it uses less digits than its factorization.

360641820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 360641820000 its reverse (28146063), we get a palindrome (360669966063).

The spelling of 360641820000 in words is "three hundred sixty billion, six hundred forty-one million, eight hundred twenty thousand".