4705005074 has 128 divisors (see below), whose sum is σ = 9749790720. Its totient is φ = 1646568000.

The previous prime is 4705005073. The next prime is 4705005101.

4705005074 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4705005074.

It is not an unprimeable number, because it can be changed into a prime (4705005073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10161767 + ... + 10162229.

It is an arithmetic number, because the mean of its divisors is an integer number (76170240).

Almost surely, 2^4705005074 is an apocalyptic number.

4705005074 is an abundant number, since it is smaller than the sum of its proper divisors (5044785646).

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

4705005074 is a wasteful number, since it uses less digits than its factorization.

4705005074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 4705005074 is about 68593.0395448401. The cubic root of 4705005074 is about 1675.6630714366.

It can be divided in two parts, 470500 and 5074, that added together give a palindrome (475574).

The spelling of 4705005074 in words is "four billion, seven hundred five million, five thousand, seventy-four".