4613838880 has 192 divisors, whose sum is σ = 12695961600. Its totient is φ = 1551965184.

The previous prime is 4613838851. The next prime is 4613838917. The reversal of 4613838880 is 888383164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23185021 + ... + 23185219.

It is an arithmetic number, because the mean of its divisors is an integer number (66124800).

Almost surely, 2^4613838880 is an apocalyptic number.

4613838880 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 4613838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347980800).

4613838880 is an abundant number, since it is smaller than the sum of its proper divisors (8082122720).

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

4613838880 is a wasteful number, since it uses less digits than its factorization.

4613838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 4613838880 is about 67925.2447916090. The cubic root of 4613838880 is about 1664.7696182548.

The spelling of 4613838880 in words is "four billion, six hundred thirteen million, eight hundred thirty-eight thousand, eight hundred eighty".