4861658880 has 360 divisors, whose sum is σ = 18739244832. Its totient is φ = 1196384256.

The previous prime is 4861658831. The next prime is 4861658887. The reversal of 4861658880 is 888561684.

4861658880 is a `hidden beast` number, since 48 + 6 + 16 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861658887) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1346037 + ... + 1349643.

Almost surely, 2^4861658880 is an apocalyptic number.

4861658880 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 4861658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369622416).

4861658880 is an abundant number, since it is smaller than the sum of its proper divisors (13877585952).

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

4861658880 is a wasteful number, since it uses less digits than its factorization.

4861658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4861658880 is about 69725.5970214669. The cubic root of 4861658880 is about 1694.0575542410.

The spelling of 4861658880 in words is "four billion, eight hundred sixty-one million, six hundred fifty-eight thousand, eight hundred eighty".