4881461760 has 960 divisors, whose sum is σ = 21448627200. Its totient is φ = 1039122432.

The previous prime is 4881461759. The next prime is 4881461771. The reversal of 4881461760 is 671641884.

4881461760 is a `hidden beast` number, since 48 + 81 + 461 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736611 + ... + 82736669.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^4881461760 is an apocalyptic number.

4881461760 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 4881461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

4881461760 is an abundant number, since it is smaller than the sum of its proper divisors (16567165440).

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

4881461760 is an equidigital number, since it uses as much as digits as its factorization.

4881461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4881461760 is about 69867.4585196857. The cubic root of 4881461760 is about 1696.3545597866.

The spelling of 4881461760 in words is "four billion, eight hundred eighty-one million, four hundred sixty-one thousand, seven hundred sixty".