4689009864 has 128 divisors (see below), whose sum is σ = 16239052800. Its totient is φ = 1217920320.

The previous prime is 4689009827. The next prime is 4689009881.

4689009864 is a `hidden beast` number, since 468 + 90 + 0 + 98 + 6 + 4 = 666.

4689009864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4689009864.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 124332 + ... + 157595.

It is an arithmetic number, because the mean of its divisors is an integer number (126867600).

Almost surely, 2^4689009864 is an apocalyptic number.

4689009864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4689009864 is an abundant number, since it is smaller than the sum of its proper divisors (11550042936).

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

4689009864 is a wasteful number, since it uses less digits than its factorization.

4689009864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281960 (or 281950 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4689009864 is about 68476.3452879898. The cubic root of 4689009864 is about 1673.7620452869.

The spelling of 4689009864 in words is "four billion, six hundred eighty-nine million, nine thousand, eight hundred sixty-four".