4608429696 has 192 divisors, whose sum is σ = 14399723520. Its totient is φ = 1406232576.

The previous prime is 4608429691. The next prime is 4608429719. The reversal of 4608429696 is 6969248064.

4608429696 is a `hidden beast` number, since 4 + 608 + 4 + 29 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4608429691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900741 + ... + 1903163.

It is an arithmetic number, because the mean of its divisors is an integer number (74998560).

Almost surely, 2^4608429696 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 4608429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199861760).

4608429696 is an abundant number, since it is smaller than the sum of its proper divisors (9791293824).

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

4608429696 is a wasteful number, since it uses less digits than its factorization.

4608429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4608429696 is about 67885.4159300803. The cubic root of 4608429696 is about 1664.1187815849.

The spelling of 4608429696 in words is "four billion, six hundred eight million, four hundred twenty-nine thousand, six hundred ninety-six".