4778851200 has 192 divisors, whose sum is σ = 15804940800. Its totient is φ = 1269135360.

The previous prime is 4778851199. The next prime is 4778851201. The reversal of 4778851200 is 21588774.

It is an interprime number because it is at equal distance from previous prime (4778851199) and next prime (4778851201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778851201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715921 + ... + 2717679.

It is an arithmetic number, because the mean of its divisors is an integer number (82317400).

Almost surely, 2^4778851200 is an apocalyptic number.

4778851200 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 4778851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902470400).

4778851200 is an abundant number, since it is smaller than the sum of its proper divisors (11026089600).

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

4778851200 is a wasteful number, since it uses less digits than its factorization.

4778851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 4778851200 is about 69129.2354941091. The cubic root of 4778851200 is about 1684.3842402509.

The spelling of 4778851200 in words is "four billion, seven hundred seventy-eight million, eight hundred fifty-one thousand, two hundred".