6105676544 has 144 divisors (see below), whose sum is σ = 13623047424. Its totient is φ = 2707968000.

The previous prime is 6105676513. The next prime is 6105676561. The reversal of 6105676544 is 4456765016.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6105676495 and 6105676504.

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 15 ways as a sum of consecutive naturals, for example, 35292842 + ... + 35293014.

It is an arithmetic number, because the mean of its divisors is an integer number (94604496).

Almost surely, 2^6105676544 is an apocalyptic number.

6105676544 is a gapful number since it is divisible by the number (64) 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 6105676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811523712).

6105676544 is an abundant number, since it is smaller than the sum of its proper divisors (7517370880).

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

6105676544 is a wasteful number, since it uses less digits than its factorization.

6105676544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 6105676544 is about 78138.8286577166. The cubic root of 6105676544 is about 1827.7267346373.

The spelling of 6105676544 in words is "six billion, one hundred five million, six hundred seventy-six thousand, five hundred forty-four".