4857760512 has 432 divisors, whose sum is σ = 16427873280. Its totient is φ = 1418342400.

The previous prime is 4857760511. The next prime is 4857760513. The reversal of 4857760512 is 2150677584.

4857760512 is a `hidden beast` number, since 4 + 8 + 5 + 77 + 60 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (4857760511) and next prime (4857760513).

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (4857760511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21212814 + ... + 21213042.

Almost surely, 2^4857760512 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 4857760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213936640).

4857760512 is an abundant number, since it is smaller than the sum of its proper divisors (11570112768).

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

4857760512 is a wasteful number, since it uses less digits than its factorization.

4857760512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4857760512 is about 69697.6363444271. The cubic root of 4857760512 is about 1693.6046343711.

The spelling of 4857760512 in words is "four billion, eight hundred fifty-seven million, seven hundred sixty thousand, five hundred twelve".