4284871687264 has 96 divisors (see below), whose sum is σ = 9712689557760. Its totient is φ = 1822735968768.

The previous prime is 4284871687193. The next prime is 4284871687267. The reversal of 4284871687264 is 4627861784824.

It is a self number, because there is not a number n which added to its sum of digits gives 4284871687264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284871687267) 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 15 ways as a sum of consecutive naturals, for example, 33239767 + ... + 33368425.

It is an arithmetic number, because the mean of its divisors is an integer number (101173849560).

Almost surely, 2^{4284871687264} 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 4284871687264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856344778880).

4284871687264 is an abundant number, since it is smaller than the sum of its proper divisors (5427817870496).

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

4284871687264 is a wasteful number, since it uses less digits than its factorization.

4284871687264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129780 (or 129772 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 67.

The spelling of 4284871687264 in words is "four trillion, two hundred eighty-four billion, eight hundred seventy-one million, six hundred eighty-seven thousand, two hundred sixty-four".