6904244424096 has 192 divisors, whose sum is σ = 20351473752960. Its totient is φ = 2276962099200.

The previous prime is 6904244424067. The next prime is 6904244424149.

6904244424096 is a `hidden beast` number, since 6 + 90 + 4 + 2 + 44 + 424 + 0 + 96 = 666.

6904244424096 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 304798371 + ... + 304821021.

It is an arithmetic number, because the mean of its divisors is an integer number (105997259130).

Almost surely, 2^{6904244424096} 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 6904244424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175736876480).

6904244424096 is an abundant number, since it is smaller than the sum of its proper divisors (13447229328864).

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

6904244424096 is a wasteful number, since it uses less digits than its factorization.

6904244424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26404 (or 26390 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6904244424096 in words is "six trillion, nine hundred four billion, two hundred forty-four million, four hundred twenty-four thousand, ninety-six".