6105575616 has 224 divisors, whose sum is σ = 19082918400. Its totient is φ = 1721889792.

The previous prime is 6105575591. The next prime is 6105575621. The reversal of 6105575616 is 6165755016.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 5465490 + ... + 5466606.

It is an arithmetic number, because the mean of its divisors is an integer number (85191600).

Almost surely, 2^6105575616 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 6105575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541459200).

6105575616 is an abundant number, since it is smaller than the sum of its proper divisors (12977342784).

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

6105575616 is a wasteful number, since it uses less digits than its factorization.

6105575616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 6105575616 is about 78138.1828301631. The cubic root of 6105575616 is about 1827.7166636910.

The spelling of 6105575616 in words is "six billion, one hundred five million, five hundred seventy-five thousand, six hundred sixteen".