4778127360 has 208 divisors, whose sum is σ = 16988789280. Its totient is φ = 1274019840.

The previous prime is 4778127359. The next prime is 4778127407. The reversal of 4778127360 is 637218774.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548640 + ... + 557280.

Almost surely, 2^4778127360 is an apocalyptic number.

4778127360 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 4778127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494394640).

4778127360 is an abundant number, since it is smaller than the sum of its proper divisors (12210661920).

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

4778127360 is an equidigital number, since it uses as much as digits as its factorization.

4778127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 4778127360 is about 69123.9998842660. Note that the first 3 decimals coincide. The cubic root of 4778127360 is about 1684.2991928759.

The spelling of 4778127360 in words is "four billion, seven hundred seventy-eight million, one hundred twenty-seven thousand, three hundred sixty".