4779331200 has 576 divisors, whose sum is σ = 19744033920. Its totient is φ = 1078272000.

The previous prime is 4779331199. The next prime is 4779331217. The reversal of 4779331200 is 21339774.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30441522 + ... + 30441678.

Almost surely, 2^4779331200 is an apocalyptic number.

4779331200 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 4779331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872016960).

4779331200 is an abundant number, since it is smaller than the sum of its proper divisors (14964702720).

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

4779331200 is a wasteful number, since it uses less digits than its factorization.

4779331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4779331200 is about 69132.7071652774. The cubic root of 4779331200 is about 1684.4406329789.

The spelling of 4779331200 in words is "four billion, seven hundred seventy-nine million, three hundred thirty-one thousand, two hundred".