4688746478864 has 160 divisors (see below), whose sum is σ = 10558032742656. Its totient is φ = 1975759257600.

The previous prime is 4688746478863. The next prime is 4688746478891.

4688746478864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4688746478863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111865684 + ... + 1111869900.

Almost surely, 2^{4688746478864} 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 4688746478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279016371328).

4688746478864 is an abundant number, since it is smaller than the sum of its proper divisors (5869286263792).

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

4688746478864 is a wasteful number, since it uses less digits than its factorization.

4688746478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its digits is 11098128384, while the sum is 80.

The spelling of 4688746478864 in words is "four trillion, six hundred eighty-eight billion, seven hundred forty-six million, four hundred seventy-eight thousand, eight hundred sixty-four".