4789736448 has 264 divisors, whose sum is σ = 15423440832. Its totient is φ = 1294368768.

The previous prime is 4789736443. The next prime is 4789736449. The reversal of 4789736448 is 8446379874.

Its product of digits (32514048) is a multiple of the sum of its prime divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 4789736391 and 4789736400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4789736443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7762636 + ... + 7763252.

Almost surely, 2^4789736448 is an apocalyptic number.

4789736448 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 4789736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711720416).

4789736448 is an abundant number, since it is smaller than the sum of its proper divisors (10633704384).

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

4789736448 is a wasteful number, since it uses less digits than its factorization.

4789736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 648 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The square root of 4789736448 is about 69207.9218587005. The cubic root of 4789736448 is about 1685.6621650018.

The spelling of 4789736448 in words is "four billion, seven hundred eighty-nine million, seven hundred thirty-six thousand, four hundred forty-eight".