4616115360 has 384 divisors, whose sum is σ = 15966720000. Its totient is φ = 1117089792.

The previous prime is 4616115353. The next prime is 4616115367. The reversal of 4616115360 is 635116164.

It is an interprime number because it is at equal distance from previous prime (4616115353) and next prime (4616115367).

It is not an unprimeable number, because it can be changed into a prime (4616115367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30980566 + ... + 30980714.

It is an arithmetic number, because the mean of its divisors is an integer number (41580000).

Almost surely, 2^4616115360 is an apocalyptic number.

4616115360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4616115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360000).

4616115360 is an abundant number, since it is smaller than the sum of its proper divisors (11350604640).

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

4616115360 is a wasteful number, since it uses less digits than its factorization.

4616115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4616115360 is about 67941.9999705631. Note that the first 4 decimals coincide. The cubic root of 4616115360 is about 1665.0433737765.

The spelling of 4616115360 in words is "four billion, six hundred sixteen million, one hundred fifteen thousand, three hundred sixty".