6109621168896 has 648 divisors, whose sum is σ = 20782487325600. Its totient is φ = 1720942755840.

The previous prime is 6109621168813. The next prime is 6109621168897. The reversal of 6109621168896 is 6988611269016.

6109621168896 is a `hidden beast` number, since 610 + 9 + 6 + 2 + 1 + 1 + 6 + 8 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6109621168897) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4632009325 + ... + 4632010643.

It is an arithmetic number, because the mean of its divisors is an integer number (32071739700).

Almost surely, 2^{6109621168896} 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 6109621168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391243662800).

6109621168896 is an abundant number, since it is smaller than the sum of its proper divisors (14672866156704).

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

6109621168896 is a wasteful number, since it uses less digits than its factorization.

6109621168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 6109621168896 in words is "six trillion, one hundred nine billion, six hundred twenty-one million, one hundred sixty-eight thousand, eight hundred ninety-six".