1307717395264 has 224 divisors, whose sum is σ = 3072318163200. Its totient is φ = 540662169600.

The previous prime is 1307717395241. The next prime is 1307717395267. The reversal of 1307717395264 is 4625937177031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307717395267) 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 31 ways as a sum of consecutive naturals, for example, 816812064 + ... + 816813664.

Almost surely, 2^{1307717395264} is an apocalyptic number.

1307717395264 is a gapful number since it is divisible by the number (14) 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 1307717395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536159081600).

1307717395264 is an abundant number, since it is smaller than the sum of its proper divisors (1764600767936).

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

1307717395264 is a wasteful number, since it uses less digits than its factorization.

1307717395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 1307717395264 in words is "one trillion, three hundred seven billion, seven hundred seventeen million, three hundred ninety-five thousand, two hundred sixty-four".