4716316800 has 1152 divisors, whose sum is σ = 20831256000. Its totient is φ = 1035141120.

The previous prime is 4716316763. The next prime is 4716316823. The reversal of 4716316800 is 86136174.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 248227191 + ... + 248227209.

Almost surely, 2^4716316800 is an apocalyptic number.

4716316800 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 4716316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415628000).

4716316800 is an abundant number, since it is smaller than the sum of its proper divisors (16114939200).

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

4716316800 is a wasteful number, since it uses less digits than its factorization.

4716316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4716316800 is about 68675.4453935320. The cubic root of 4716316800 is about 1677.0048674818.

The spelling of 4716316800 in words is "four billion, seven hundred sixteen million, three hundred sixteen thousand, eight hundred".