4882711680 has 768 divisors, whose sum is σ = 21423916800. Its totient is φ = 995328000.

The previous prime is 4882711667. The next prime is 4882711711. The reversal of 4882711680 is 861172884.

4882711680 is a `hidden beast` number, since 488 + 2 + 7 + 1 + 168 + 0 = 666.

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

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, 44795466 + ... + 44795574.

It is an arithmetic number, because the mean of its divisors is an integer number (27895725).

Almost surely, 2^4882711680 is an apocalyptic number.

4882711680 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 4882711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711958400).

4882711680 is an abundant number, since it is smaller than the sum of its proper divisors (16541205120).

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

4882711680 is a wasteful number, since it uses less digits than its factorization.

4882711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 4882711680 is about 69876.4028839493. The cubic root of 4882711680 is about 1696.4993338079.

It can be divided in two parts, 48 and 82711680, that added together give a palindrome (82711728).

The spelling of 4882711680 in words is "four billion, eight hundred eighty-two million, seven hundred eleven thousand, six hundred eighty".