6105673728 has 520 divisors, whose sum is σ = 22835197440. Its totient is φ = 1579253760.

The previous prime is 6105673699. The next prime is 6105673747. The reversal of 6105673728 is 8273765016.

6105673728 is a `hidden beast` number, since 6 + 10 + 567 + 3 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546633 + ... + 25546871.

Almost surely, 2^6105673728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11417598720).

6105673728 is an abundant number, since it is smaller than the sum of its proper divisors (16729523712).

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

6105673728 is a wasteful number, since it uses less digits than its factorization.

6105673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6105673728 is about 78138.8106385041. The cubic root of 6105673728 is about 1827.7264536485.

The spelling of 6105673728 in words is "six billion, one hundred five million, six hundred seventy-three thousand, seven hundred twenty-eight".