4911728564736 has 960 divisors, whose sum is σ = 17266144896000. Its totient is φ = 1393340755968.

The previous prime is 4911728564663. The next prime is 4911728564773. The reversal of 4911728564736 is 6374658271194.

4911728564736 is a `hidden beast` number, since 4 + 9 + 1 + 17 + 28 + 564 + 7 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7638768831 + ... + 7638769473.

It is an arithmetic number, because the mean of its divisors is an integer number (17985567600).

Almost surely, 2^{4911728564736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4911728564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633072448000).

4911728564736 is an abundant number, since it is smaller than the sum of its proper divisors (12354416331264).

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

4911728564736 is an frugal number, since it uses more digits than its factorization.

4911728564736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 834 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 4911728564736 in words is "four trillion, nine hundred eleven billion, seven hundred twenty-eight million, five hundred sixty-four thousand, seven hundred thirty-six".