4778205600 has 432 divisors, whose sum is σ = 18552312576. Its totient is φ = 1064448000.

The previous prime is 4778205577. The next prime is 4778205631. The reversal of 4778205600 is 65028774.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4821105 + ... + 4822095.

It is an arithmetic number, because the mean of its divisors is an integer number (42945168).

Almost surely, 2^4778205600 is an apocalyptic number.

4778205600 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 4778205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276156288).

4778205600 is an abundant number, since it is smaller than the sum of its proper divisors (13774106976).

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

4778205600 is a wasteful number, since it uses less digits than its factorization.

4778205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 4778205600 is about 69124.5658214213. The cubic root of 4778205600 is about 1684.3083860764.

The spelling of 4778205600 in words is "four billion, seven hundred seventy-eight million, two hundred five thousand, six hundred".