6005407680 has 168 divisors, whose sum is σ = 20687690400. Its totient is φ = 1598994432.

The previous prime is 6005407651. The next prime is 6005407711. The reversal of 6005407680 is 867045006.

It is a happy number.

6005407680 is a `hidden beast` number, since 600 + 5 + 40 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2645586 + ... + 2647854.

Almost surely, 2^6005407680 is an apocalyptic number.

6005407680 is a gapful number since it is divisible by the number (60) 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 6005407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343845200).

6005407680 is an abundant number, since it is smaller than the sum of its proper divisors (14682282720).

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

6005407680 is a wasteful number, since it uses less digits than its factorization.

6005407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6005407680 is about 77494.5654868779. The cubic root of 6005407680 is about 1817.6663403905. Note that the first 3 decimals are identical.

The spelling of 6005407680 in words is "six billion, five million, four hundred seven thousand, six hundred eighty".