4785314688 has 384 divisors, whose sum is σ = 17426822400. Its totient is φ = 1224253440.

The previous prime is 4785314687. The next prime is 4785314689. The reversal of 4785314688 is 8864135874.

4785314688 is a `hidden beast` number, since 47 + 8 + 531 + 4 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4785314687) and next prime (4785314689).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785314687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6475023 + ... + 6475761.

It is an arithmetic number, because the mean of its divisors is an integer number (45382350).

Almost surely, 2^4785314688 is an apocalyptic number.

4785314688 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 4785314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713411200).

4785314688 is an abundant number, since it is smaller than the sum of its proper divisors (12641507712).

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

4785314688 is a wasteful number, since it uses less digits than its factorization.

4785314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 4785314688 is about 69175.9690065849. The cubic root of 4785314688 is about 1685.1432854874.

The spelling of 4785314688 in words is "four billion, seven hundred eighty-five million, three hundred fourteen thousand, six hundred eighty-eight".