6581471397768 has 24 divisors (see below), whose sum is σ = 17824818369150. Its totient is φ = 2193823799232.

The previous prime is 6581471397673. The next prime is 6581471397769. The reversal of 6581471397768 is 8677931741856.

6581471397768 is a `hidden beast` number, since 6 + 5 + 8 + 1 + 471 + 3 + 97 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6444276719364 + 137194678404 = 2538558^2 + 370398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×6581471397768³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 91409324969 = 6581471397768 / (6 + 5 + 8 + 1 + 4 + 7 + 1 + 3 + 9 + 7 + 7 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 6581471397696 and 6581471397705.

It is not an unprimeable number, because it can be changed into a prime (6581471397769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45704662413 + ... + 45704662556.

Almost surely, 2^{6581471397768} is an apocalyptic number.

It is an amenable number.

6581471397768 is an abundant number, since it is smaller than the sum of its proper divisors (11243346971382).

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

6581471397768 is a wasteful number, since it uses less digits than its factorization.

6581471397768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91409324981 (or 91409324974 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 6581471397768 in words is "six trillion, five hundred eighty-one billion, four hundred seventy-one million, three hundred ninety-seven thousand, seven hundred sixty-eight".