4772908800 has 864 divisors, whose sum is σ = 19952056320. Its totient is φ = 1119744000.

The previous prime is 4772908783. The next prime is 4772908817. The reversal of 4772908800 is 88092774.

It is an interprime number because it is at equal distance from previous prime (4772908783) and next prime (4772908817).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153964785 + ... + 153964815.

Almost surely, 2^4772908800 is an apocalyptic number.

4772908800 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 4772908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976028160).

4772908800 is an abundant number, since it is smaller than the sum of its proper divisors (15179147520).

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

4772908800 is an equidigital number, since it uses as much as digits as its factorization.

4772908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4772908800 is about 69086.2417562281. The cubic root of 4772908800 is about 1683.6857853199.

The spelling of 4772908800 in words is "four billion, seven hundred seventy-two million, nine hundred eight thousand, eight hundred".