4938328756080 has 360 divisors, whose sum is σ = 17239010641632. Its totient is φ = 1315552513536.

The previous prime is 4938328756051. The next prime is 4938328756169. The reversal of 4938328756080 is 806578238394.

4938328756080 is a `hidden beast` number, since 4 + 9 + 38 + 32 + 8 + 7 + 560 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4938328755999 and 4938328756017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 586286749 + ... + 586295171.

Almost surely, 2^{4938328756080} is an apocalyptic number.

4938328756080 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 4938328756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619505320816).

4938328756080 is an abundant number, since it is smaller than the sum of its proper divisors (12300681885552).

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

4938328756080 is an equidigital number, since it uses as much as digits as its factorization.

4938328756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4938328756080 in words is "four trillion, nine hundred thirty-eight billion, three hundred twenty-eight million, seven hundred fifty-six thousand, eighty".