6105705672 has 64 divisors (see below), whose sum is σ = 17375938560. Its totient is φ = 1769768000.

The previous prime is 6105705667. The next prime is 6105705763. The reversal of 6105705672 is 2765075016.

It is a self number, because there is not a number n which added to its sum of digits gives 6105705672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496704 + ... + 508847.

It is an arithmetic number, because the mean of its divisors is an integer number (271499040).

Almost surely, 2^6105705672 is an apocalyptic number.

It is an amenable number.

6105705672 is an abundant number, since it is smaller than the sum of its proper divisors (11270232888).

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

6105705672 is a wasteful number, since it uses less digits than its factorization.

6105705672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005594 (or 1005590 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 6105705672 is about 78139.0150437027. The cubic root of 6105705672 is about 1827.7296411096.

The spelling of 6105705672 in words is "six billion, one hundred five million, seven hundred five thousand, six hundred seventy-two".