6105430080 has 280 divisors, whose sum is σ = 21927479640. Its totient is φ = 1612431360.

The previous prime is 6105430043. The next prime is 6105430087. The reversal of 6105430080 is 800345016.

6105430080 is a `hidden beast` number, since 610 + 5 + 43 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1337803776 + 4767626304 = 36576^2 + 69048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6105430087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2824200 + ... + 2826360.

Almost surely, 2^6105430080 is an apocalyptic number.

6105430080 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 6105430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963739820).

6105430080 is an abundant number, since it is smaller than the sum of its proper divisors (15822049560).

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

6105430080 is a wasteful number, since it uses less digits than its factorization.

6105430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6105430080 is about 78137.2515513567. The cubic root of 6105430080 is about 1827.7021414083.

Adding to 6105430080 its reverse (800345016), we get a palindrome (6905775096).

The spelling of 6105430080 in words is "six billion, one hundred five million, four hundred thirty thousand, eighty".