4610716344 has 320 divisors, whose sum is σ = 14819112000. Its totient is φ = 1328431104.

The previous prime is 4610716343. The next prime is 4610716361. The reversal of 4610716344 is 4436170164.

4610716344 is a `hidden beast` number, since 4 + 6 + 10 + 7 + 1 + 634 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4610716299 and 4610716308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4610716343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10268632 + ... + 10269080.

It is an arithmetic number, because the mean of its divisors is an integer number (46309725).

Almost surely, 2^4610716344 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 4610716344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409556000).

4610716344 is an abundant number, since it is smaller than the sum of its proper divisors (10208395656).

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

4610716344 is a wasteful number, since it uses less digits than its factorization.

4610716344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4610716344 is about 67902.2558093617. The cubic root of 4610716344 is about 1664.3939747226.

The spelling of 4610716344 in words is "four billion, six hundred ten million, seven hundred sixteen thousand, three hundred forty-four".