4787553600 has 840 divisors, whose sum is σ = 19447614648. Its totient is φ = 1150156800.

The previous prime is 4787553577. The next prime is 4787553601. The reversal of 4787553600 is 63557874.

4787553600 is a `hidden beast` number, since 47 + 8 + 75 + 536 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1327290624 + 3460262976 = 36432^2 + 58824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787553601) 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 119 ways as a sum of consecutive naturals, for example, 90331174 + ... + 90331226.

Almost surely, 2^4787553600 is an apocalyptic number.

4787553600 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 4787553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723807324).

4787553600 is an abundant number, since it is smaller than the sum of its proper divisors (14660061048).

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

4787553600 is a wasteful number, since it uses less digits than its factorization.

4787553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4787553600 is about 69192.1498437503. The cubic root of 4787553600 is about 1685.4060546408.

It can be divided in two parts, 47875 and 53600, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 4787553600 in words is "four billion, seven hundred eighty-seven million, five hundred fifty-three thousand, six hundred".