6105704640 has 448 divisors, whose sum is σ = 22921740288. Its totient is φ = 1348300800.

The previous prime is 6105704609. The next prime is 6105704749. The reversal of 6105704640 is 464075016.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31966945 + ... + 31967135.

Almost surely, 2^6105704640 is an apocalyptic number.

6105704640 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 6105704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460870144).

6105704640 is an abundant number, since it is smaller than the sum of its proper divisors (16816035648).

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

6105704640 is a wasteful number, since it uses less digits than its factorization.

6105704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6105704640 is about 78139.0084400871. The cubic root of 6105704640 is about 1827.7295381339.

Adding to 6105704640 its reverse (464075016), we get a palindrome (6569779656).

The spelling of 6105704640 in words is "six billion, one hundred five million, seven hundred four thousand, six hundred forty".