4688842464 has 288 divisors, whose sum is σ = 14570075520. Its totient is φ = 1481421312.

The previous prime is 4688842463. The next prime is 4688842469. The reversal of 4688842464 is 4642488864.

4688842464 is a `hidden beast` number, since 4 + 68 + 88 + 42 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4688842464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688842463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12371427 + ... + 12371805.

It is an arithmetic number, because the mean of its divisors is an integer number (50590540).

Almost surely, 2^4688842464 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 4688842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285037760).

4688842464 is an abundant number, since it is smaller than the sum of its proper divisors (9881233056).

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

4688842464 is a wasteful number, since it uses less digits than its factorization.

4688842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The square root of 4688842464 is about 68475.1229571733. The cubic root of 4688842464 is about 1673.7421270022.

The spelling of 4688842464 in words is "four billion, six hundred eighty-eight million, eight hundred forty-two thousand, four hundred sixty-four".