4627468800 has 180 divisors, whose sum is σ = 16560845730. Its totient is φ = 1233960960.

The previous prime is 4627468771. The next prime is 4627468817. The reversal of 4627468800 is 88647264.

It can be written as a sum of positive squares in 3 ways, for example, as 4432363776 + 195105024 = 66576^2 + 13968^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 17 ways as a sum of consecutive naturals, for example, 95116 + ... + 135284.

Almost surely, 2^4627468800 is an apocalyptic number.

4627468800 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 4627468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280422865).

4627468800 is an abundant number, since it is smaller than the sum of its proper divisors (11933376930).

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

4627468800 is a wasteful number, since it uses less digits than its factorization.

4627468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40203 (or 40179 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4627468800 is about 68025.5011006902. The cubic root of 4627468800 is about 1666.4073267589.

The spelling of 4627468800 in words is "four billion, six hundred twenty-seven million, four hundred sixty-eight thousand, eight hundred".