4767328800 has 648 divisors, whose sum is σ = 19059725412. Its totient is φ = 1114214400.

The previous prime is 4767328799. The next prime is 4767328807. The reversal of 4767328800 is 88237674.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1356301584 + 3411027216 = 36828^2 + 58404^2 .

It is a super-3 number, since 3×4767328800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4767328807) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 89949574 + ... + 89949626.

Almost surely, 2^4767328800 is an apocalyptic number.

4767328800 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 4767328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529862706).

4767328800 is an abundant number, since it is smaller than the sum of its proper divisors (14292396612).

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

4767328800 is a wasteful number, since it uses less digits than its factorization.

4767328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4767328800 is about 69045.8456389666. The cubic root of 4767328800 is about 1683.0293980120.

The spelling of 4767328800 in words is "four billion, seven hundred sixty-seven million, three hundred twenty-eight thousand, eight hundred".