7705330420896 has 144 divisors (see below), whose sum is σ = 22223822100480. Its totient is φ = 2531907141120.

The previous prime is 7705330420889. The next prime is 7705330420933. The reversal of 7705330420896 is 6980240335077.

7705330420896 is a `hidden beast` number, since 7 + 7 + 0 + 533 + 0 + 4 + 20 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 169552545 + ... + 169597983.

It is an arithmetic number, because the mean of its divisors is an integer number (154332097920).

Almost surely, 2^{7705330420896} 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 7705330420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111911050240).

7705330420896 is an abundant number, since it is smaller than the sum of its proper divisors (14518491679584).

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

7705330420896 is a wasteful number, since it uses less digits than its factorization.

7705330420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53819 (or 53808 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7705330420896 in words is "seven trillion, seven hundred five billion, three hundred thirty million, four hundred twenty thousand, eight hundred ninety-six".