6105413664 has 192 divisors, whose sum is σ = 21236705280. Its totient is φ = 1668522240.

The previous prime is 6105413647. The next prime is 6105413669. The reversal of 6105413664 is 4663145016.

It is a happy number.

6105413664 is a `hidden beast` number, since 610 + 5 + 4 + 1 + 36 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6105413669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117159 + ... + 161049.

It is an arithmetic number, because the mean of its divisors is an integer number (110607840).

Almost surely, 2^6105413664 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 6105413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618352640).

6105413664 is an abundant number, since it is smaller than the sum of its proper divisors (15131291616).

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

6105413664 is a wasteful number, since it uses less digits than its factorization.

6105413664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43940 (or 43926 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6105413664 is about 78137.1465053594. The cubic root of 6105413664 is about 1827.7005033263.

The spelling of 6105413664 in words is "six billion, one hundred five million, four hundred thirteen thousand, six hundred sixty-four".