4560834096 has 360 divisors, whose sum is σ = 16205900256. Its totient is φ = 1171722240.

The previous prime is 4560834053. The next prime is 4560834097. The reversal of 4560834096 is 6904380654.

4560834096 is a `hidden beast` number, since 4 + 5 + 608 + 34 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×4560834096² = 41602415302472274432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4560834097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6984106 + ... + 6984758.

Almost surely, 2^4560834096 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 4560834096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102950128).

4560834096 is an abundant number, since it is smaller than the sum of its proper divisors (11645066160).

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

4560834096 is a wasteful number, since it uses less digits than its factorization.

4560834096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4560834096 is about 67533.9477300121. The cubic root of 4560834096 is about 1658.3699700589.

The spelling of 4560834096 in words is "four billion, five hundred sixty million, eight hundred thirty-four thousand, ninety-six".