4517364096 has 288 divisors, whose sum is σ = 15328029600. Its totient is φ = 1273079808.

The previous prime is 4517364091. The next prime is 4517364107. The reversal of 4517364096 is 6904637154.

4517364096 is a `hidden beast` number, since 4 + 517 + 3 + 6 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4517364091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4458886 + ... + 4459898.

It is an arithmetic number, because the mean of its divisors is an integer number (53222325).

Almost surely, 2^4517364096 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 4517364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664014800).

4517364096 is an abundant number, since it is smaller than the sum of its proper divisors (10810665504).

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

4517364096 is a wasteful number, since it uses less digits than its factorization.

4517364096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4517364096 is about 67211.3390433489. The cubic root of 4517364096 is about 1653.0844167986.

The spelling of 4517364096 in words is "four billion, five hundred seventeen million, three hundred sixty-four thousand, ninety-six".