4688290656 has 144 divisors (see below), whose sum is σ = 15290874144. Its totient is φ = 1334771712.

The previous prime is 4688290637. The next prime is 4688290667. The reversal of 4688290656 is 6560928864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586720 + ... + 594656.

It is an arithmetic number, because the mean of its divisors is an integer number (106186626).

Almost surely, 2^4688290656 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 4688290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645437072).

4688290656 is an abundant number, since it is smaller than the sum of its proper divisors (10602583488).

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

4688290656 is a wasteful number, since it uses less digits than its factorization.

4688290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4688290656 is about 68471.0935796997. The cubic root of 4688290656 is about 1673.6764661249.

The spelling of 4688290656 in words is "four billion, six hundred eighty-eight million, two hundred ninety thousand, six hundred fifty-six".