4660567296 has 288 divisors, whose sum is σ = 15766990848. Its totient is φ = 1186897920.

The previous prime is 4660567283. The next prime is 4660567297. The reversal of 4660567296 is 6927650664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660567297) 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 31 ways as a sum of consecutive naturals, for example, 3133465 + ... + 3134951.

It is an arithmetic number, because the mean of its divisors is an integer number (54746496).

Almost surely, 2^4660567296 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 4660567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883495424).

4660567296 is an abundant number, since it is smaller than the sum of its proper divisors (11106423552).

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

4660567296 is a wasteful number, since it uses less digits than its factorization.

4660567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 4660567296 is about 68268.3476876363. The cubic root of 4660567296 is about 1670.3709475137.

The spelling of 4660567296 in words is "four billion, six hundred sixty million, five hundred sixty-seven thousand, two hundred ninety-six".