6005407681 has 16 divisors (see below), whose sum is σ = 7393289344. Its totient is φ = 4750233984.

The previous prime is 6005407651. The next prime is 6005407711. The reversal of 6005407681 is 1867045006.

It is an interprime number because it is at equal distance from previous prime (6005407651) and next prime (6005407711).

It is a cyclic number.

It is not a de Polignac number, because 6005407681 - 2¹¹ = 6005405633 is a prime.

It is a super-2 number, since 2×6005407681² = 72129842830027595522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005407681.

It is not an unprimeable number, because it can be changed into a prime (6005407621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458830 + ... + 471736.

It is an arithmetic number, because the mean of its divisors is an integer number (462080584).

Almost surely, 2^6005407681 is an apocalyptic number.

It is an amenable number.

6005407681 is a deficient number, since it is larger than the sum of its proper divisors (1387881663).

6005407681 is a wasteful number, since it uses less digits than its factorization.

6005407681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 6005407681 is about 77494.5654933299. The cubic root of 6005407681 is about 1817.6663404914. Note that the first 3 decimals are identical.

The spelling of 6005407681 in words is "six billion, five million, four hundred seven thousand, six hundred eighty-one".