1306723613760 has 896 divisors, whose sum is σ = 4982529024000. Its totient is φ = 321350270976.

The previous prime is 1306723613687. The next prime is 1306723613771. The reversal of 1306723613760 is 673163276031.

It is a happy number.

1306723613760 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 7 + 23 + 613 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×1306723613760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1982888311 + ... + 1982888969.

Almost surely, 2^{1306723613760} is an apocalyptic number.

1306723613760 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 1306723613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491264512000).

1306723613760 is an abundant number, since it is smaller than the sum of its proper divisors (3675805410240).

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

1306723613760 is a wasteful number, since it uses less digits than its factorization.

1306723613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

Adding to 1306723613760 its reverse (673163276031), we get a palindrome (1979886889791).

The spelling of 1306723613760 in words is "one trillion, three hundred six billion, seven hundred twenty-three million, six hundred thirteen thousand, seven hundred sixty".