4658056680 has 128 divisors (see below), whose sum is σ = 14183424000. Its totient is φ = 1223684352.

The previous prime is 4658056649. The next prime is 4658056687. The reversal of 4658056680 is 866508564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4658056687) 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, 2554249 + ... + 2556071.

It is an arithmetic number, because the mean of its divisors is an integer number (110808000).

Almost surely, 2^4658056680 is an apocalyptic number.

4658056680 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 4658056680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091712000).

4658056680 is an abundant number, since it is smaller than the sum of its proper divisors (9525367320).

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

4658056680 is a wasteful number, since it uses less digits than its factorization.

4658056680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 4658056680 is about 68249.9573626240. The cubic root of 4658056680 is about 1670.0709544715.

The spelling of 4658056680 in words is "four billion, six hundred fifty-eight million, fifty-six thousand, six hundred eighty".