4609728804096 has 1152 divisors, whose sum is σ = 16121430259200. Its totient is φ = 1286193807360.

The previous prime is 4609728804067. The next prime is 4609728804097. The reversal of 4609728804096 is 6904088279064.

4609728804096 is a `hidden beast` number, since 4 + 60 + 97 + 2 + 8 + 80 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609728804097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5574036835 + ... + 5574037661.

It is an arithmetic number, because the mean of its divisors is an integer number (13994297100).

Almost surely, 2^{4609728804096} 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 4609728804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060715129600).

4609728804096 is an abundant number, since it is smaller than the sum of its proper divisors (11511701455104).

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

4609728804096 is a wasteful number, since it uses less digits than its factorization.

4609728804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4609728804096 in words is "four trillion, six hundred nine billion, seven hundred twenty-eight million, eight hundred four thousand, ninety-six".