4658078880 has 1152 divisors, whose sum is σ = 21835215360. Its totient is φ = 902430720.

The previous prime is 4658078857. The next prime is 4658078947. The reversal of 4658078880 is 888708564.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113611660 + ... + 113611700.

It is an arithmetic number, because the mean of its divisors is an integer number (18954180).

Almost surely, 2^4658078880 is an apocalyptic number.

4658078880 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 4658078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917607680).

4658078880 is an abundant number, since it is smaller than the sum of its proper divisors (17177136480).

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

4658078880 is a wasteful number, since it uses less digits than its factorization.

4658078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 4658078880 is about 68250.1199998945. The cubic root of 4658078880 is about 1670.0736076177.

The spelling of 4658078880 in words is "four billion, six hundred fifty-eight million, seventy-eight thousand, eight hundred eighty".