4608770880 has 224 divisors, whose sum is σ = 16926787584. Its totient is φ = 1040615424.

The previous prime is 4608770869. The next prime is 4608770909. The reversal of 4608770880 is 880778064.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553629 + ... + 561891.

It is an arithmetic number, because the mean of its divisors is an integer number (75566016).

Almost surely, 2^4608770880 is an apocalyptic number.

4608770880 is a gapful number since it is divisible by the number (40) 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 4608770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463393792).

4608770880 is an abundant number, since it is smaller than the sum of its proper divisors (12318016704).

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

4608770880 is a wasteful number, since it uses less digits than its factorization.

4608770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 4608770880 is about 67887.9288239080. The cubic root of 4608770880 is about 1664.1598481180.

The spelling of 4608770880 in words is "four billion, six hundred eight million, seven hundred seventy thousand, eight hundred eighty".