4813580688 has 160 divisors (see below), whose sum is σ = 15020467200. Its totient is φ = 1297617408.

The previous prime is 4813580683. The next prime is 4813580693. The reversal of 4813580688 is 8860853184.

It is an interprime number because it is at equal distance from previous prime (4813580683) and next prime (4813580693).

It is a self number, because there is not a number n which added to its sum of digits gives 4813580688.

It is not an unprimeable number, because it can be changed into a prime (4813580683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715895 + ... + 1718697.

It is an arithmetic number, because the mean of its divisors is an integer number (93877920).

Almost surely, 2^4813580688 is an apocalyptic number.

4813580688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4813580688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510233600).

4813580688 is an abundant number, since it is smaller than the sum of its proper divisors (10206886512).

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

4813580688 is a wasteful number, since it uses less digits than its factorization.

4813580688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The square root of 4813580688 is about 69379.9732487697. The cubic root of 4813580688 is about 1688.4547209015.

The spelling of 4813580688 in words is "four billion, eight hundred thirteen million, five hundred eighty thousand, six hundred eighty-eight".