1306066360320 has 768 divisors, whose sum is σ = 4938805872000. Its totient is φ = 326262325248.

The previous prime is 1306066360309. The next prime is 1306066360349. The reversal of 1306066360320 is 230636606031.

It is a happy number.

1306066360320 is a `hidden beast` number, since 13 + 0 + 6 + 0 + 6 + 636 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1264342524 + ... + 1264343556.

Almost surely, 2^{1306066360320} is an apocalyptic number.

1306066360320 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 1306066360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469402936000).

1306066360320 is an abundant number, since it is smaller than the sum of its proper divisors (3632739511680).

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

1306066360320 is a wasteful number, since it uses less digits than its factorization.

1306066360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 1306066360320 in words is "one trillion, three hundred six billion, sixty-six million, three hundred sixty thousand, three hundred twenty".