1306320648360 has 512 divisors, whose sum is σ = 5152341519360. Its totient is φ = 257106640896.

The previous prime is 1306320648349. The next prime is 1306320648361. The reversal of 1306320648360 is 638460236031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1306320648361) 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 127 ways as a sum of consecutive naturals, for example, 20946184 + ... + 21008456.

It is an arithmetic number, because the mean of its divisors is an integer number (10063167030).

Almost surely, 2^{1306320648360} is an apocalyptic number.

1306320648360 is a gapful number since it is divisible by the number (10) 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 1306320648360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576170759680).

1306320648360 is an abundant number, since it is smaller than the sum of its proper divisors (3846020871000).

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

1306320648360 is a wasteful number, since it uses less digits than its factorization.

1306320648360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62437 (or 62433 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 1306320648360 in words is "one trillion, three hundred six billion, three hundred twenty million, six hundred forty-eight thousand, three hundred sixty".