4878361600 has 198 divisors, whose sum is σ = 14070320610. Its totient is φ = 1672151040.

The previous prime is 4878361591. The next prime is 4878361639. The reversal of 4878361600 is 61638784.

It can be written as a sum of positive squares in 3 ways, for example, as 629407744 + 4248953856 = 25088^2 + 65184^2 .

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, 1252456 + ... + 1256344.

Almost surely, 2^4878361600 is an apocalyptic number.

4878361600 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 4878361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035160305).

4878361600 is an abundant number, since it is smaller than the sum of its proper divisors (9191959010).

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

4878361600 is a wasteful number, since it uses less digits than its factorization.

4878361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 4878361600 is about 69845.2689879565. The cubic root of 4878361600 is about 1695.9953720059.

The spelling of 4878361600 in words is "four billion, eight hundred seventy-eight million, three hundred sixty-one thousand, six hundred".