6105688576 has 160 divisors (see below), whose sum is σ = 13727121408. Its totient is φ = 2694021120.

The previous prime is 6105688517. The next prime is 6105688577. The reversal of 6105688576 is 6758865016.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6105688577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26204556 + ... + 26204788.

Almost surely, 2^6105688576 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 6105688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863560704).

6105688576 is an abundant number, since it is smaller than the sum of its proper divisors (7621432832).

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

6105688576 is a wasteful number, since it uses less digits than its factorization.

6105688576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 6105688576 is about 78138.9056488508. The cubic root of 6105688576 is about 1827.7279352246.

The spelling of 6105688576 in words is "six billion, one hundred five million, six hundred eighty-eight thousand, five hundred seventy-six".