4786304640 has 256 divisors, whose sum is σ = 16520474880. Its totient is φ = 1171685376.

The previous prime is 4786304639. The next prime is 4786304689. The reversal of 4786304640 is 464036874.

It is a junction number, because it is equal to n+sod(n) for n = 4786304592 and 4786304601.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5815269 + ... + 5816091.

It is an arithmetic number, because the mean of its divisors is an integer number (64533105).

Almost surely, 2^4786304640 is an apocalyptic number.

4786304640 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 4786304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8260237440).

4786304640 is an abundant number, since it is smaller than the sum of its proper divisors (11734170240).

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

4786304640 is a wasteful number, since it uses less digits than its factorization.

4786304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 4786304640 is about 69183.1239537505. The cubic root of 4786304640 is about 1685.2594809766.

The spelling of 4786304640 in words is "four billion, seven hundred eighty-six million, three hundred four thousand, six hundred forty".