4616316000 has 576 divisors, whose sum is σ = 18306025920. Its totient is φ = 1094860800.

The previous prime is 4616315959. The next prime is 4616316043. The reversal of 4616316000 is 6136164.

4616316000 is a `hidden beast` number, since 46 + 16 + 3 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11627802 + ... + 11628198.

It is an arithmetic number, because the mean of its divisors is an integer number (31781295).

Almost surely, 2^4616316000 is an apocalyptic number.

4616316000 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 4616316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153012960).

4616316000 is an abundant number, since it is smaller than the sum of its proper divisors (13689709920).

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

4616316000 is a wasteful number, since it uses less digits than its factorization.

4616316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4616316000 is about 67943.4765080504. The cubic root of 4616316000 is about 1665.0674971961.

The spelling of 4616316000 in words is "four billion, six hundred sixteen million, three hundred sixteen thousand".