4608679257 has 96 divisors (see below), whose sum is σ = 8648640000. Its totient is φ = 2298295296.

The previous prime is 4608679199. The next prime is 4608679279. The reversal of 4608679257 is 7529768064.

4608679257 is a `hidden beast` number, since 4 + 608 + 6 + 7 + 9 + 25 + 7 = 666.

It is not a de Polignac number, because 4608679257 - 2⁷ = 4608679129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4608675257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1675119 + ... + 1677867.

It is an arithmetic number, because the mean of its divisors is an integer number (90090000).

Almost surely, 2^4608679257 is an apocalyptic number.

It is an amenable number.

4608679257 is a deficient number, since it is larger than the sum of its proper divisors (4039960743).

4608679257 is a wasteful number, since it uses less digits than its factorization.

4608679257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4608679257 is about 67887.2540098655. The cubic root of 4608679257 is about 1664.1488201359.

It can be divided in two parts, 4608 and 679257, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 4608679257 in words is "four billion, six hundred eight million, six hundred seventy-nine thousand, two hundred fifty-seven".