4788729504 has 192 divisors, whose sum is σ = 15087703680. Its totient is φ = 1468938240.

The previous prime is 4788729503. The next prime is 4788729553. The reversal of 4788729504 is 4059278874.

It is a happy number.

4788729504 is a `hidden beast` number, since 478 + 87 + 2 + 95 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4788729503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6929799 + ... + 6930489.

It is an arithmetic number, because the mean of its divisors is an integer number (78581790).

Almost surely, 2^4788729504 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 4788729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543851840).

4788729504 is an abundant number, since it is smaller than the sum of its proper divisors (10298974176).

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

4788729504 is a wasteful number, since it uses less digits than its factorization.

4788729504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4788729504 is about 69200.6467021805. The cubic root of 4788729504 is about 1685.5440314064.

The spelling of 4788729504 in words is "four billion, seven hundred eighty-eight million, seven hundred twenty-nine thousand, five hundred four".