4784427648 has 640 divisors, whose sum is σ = 19158733440. Its totient is φ = 1144627200.

The previous prime is 4784427643. The next prime is 4784427649. The reversal of 4784427648 is 8467244874.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 4784427594 and 4784427603.

It is not an unprimeable number, because it can be changed into a prime (4784427643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378138 + ... + 10378598.

It is an arithmetic number, because the mean of its divisors is an integer number (29935521).

Almost surely, 2^4784427648 is an apocalyptic number.

4784427648 is a gapful number since it is divisible by the number (48) 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 4784427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579366720).

4784427648 is an abundant number, since it is smaller than the sum of its proper divisors (14374305792).

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

4784427648 is a wasteful number, since it uses less digits than its factorization.

4784427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The square root of 4784427648 is about 69169.5572343788. The cubic root of 4784427648 is about 1685.0391556675.

The spelling of 4784427648 in words is "four billion, seven hundred eighty-four million, four hundred twenty-seven thousand, six hundred forty-eight".