4880636681760 has 864 divisors, whose sum is σ = 20206422093312. Its totient is φ = 1068411617280.

The previous prime is 4880636681731. The next prime is 4880636681761. The reversal of 4880636681760 is 671866360884.

4880636681760 is a `hidden beast` number, since 488 + 0 + 6 + 3 + 6 + 6 + 81 + 76 + 0 = 666.

It is a super-2 number, since 2×4880636681760² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4880636681761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212162419 + ... + 212185421.

It is an arithmetic number, because the mean of its divisors is an integer number (23387062608).

Almost surely, 2^{4880636681760} is an apocalyptic number.

4880636681760 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 4880636681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103211046656).

4880636681760 is an abundant number, since it is smaller than the sum of its proper divisors (15325785411552).

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

4880636681760 is a wasteful number, since it uses less digits than its factorization.

4880636681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23166 (or 23148 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4880636681760 in words is "four trillion, eight hundred eighty billion, six hundred thirty-six million, six hundred eighty-one thousand, seven hundred sixty".