4748827776 has 512 divisors, whose sum is σ = 16920576000. Its totient is φ = 1142968320.

The previous prime is 4748827771. The next prime is 4748827781. The reversal of 4748827776 is 6777288474.

It is an interprime number because it is at equal distance from previous prime (4748827771) and next prime (4748827781).

It is a super-2 number, since 2×4748827776² = 45102730492218212352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4748827771) 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 63 ways as a sum of consecutive naturals, for example, 44381515 + ... + 44381621.

It is an arithmetic number, because the mean of its divisors is an integer number (33048000).

Almost surely, 2^4748827776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4748827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

4748827776 is an abundant number, since it is smaller than the sum of its proper divisors (12171748224).

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

4748827776 is a wasteful number, since it uses less digits than its factorization.

4748827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 29503488, while the sum is 60.

The square root of 4748827776 is about 68911.7390289927. The cubic root of 4748827776 is about 1680.8494117330.

The spelling of 4748827776 in words is "four billion, seven hundred forty-eight million, eight hundred twenty-seven thousand, seven hundred seventy-six".