6315968813427 has 288 divisors, whose sum is σ = 12203887288320. Its totient is φ = 3110984755200.

The previous prime is 6315968813339. The next prime is 6315968813461. The reversal of 6315968813427 is 7243188695136.

6315968813427 is a `hidden beast` number, since 6 + 3 + 1 + 596 + 8 + 8 + 1 + 34 + 2 + 7 = 666.

It is not a de Polignac number, because 6315968813427 - 2¹⁰ = 6315968812403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6315968813467) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2254896427 + ... + 2254899227.

It is an arithmetic number, because the mean of its divisors is an integer number (42374608640).

Almost surely, 2^{6315968813427} is an apocalyptic number.

6315968813427 is a deficient number, since it is larger than the sum of its proper divisors (5887918474893).

6315968813427 is a wasteful number, since it uses less digits than its factorization.

6315968813427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 6315968813427 in words is "six trillion, three hundred fifteen billion, nine hundred sixty-eight million, eight hundred thirteen thousand, four hundred twenty-seven".