4766517752256 has 336 divisors, whose sum is σ = 15921668765184. Its totient is φ = 1402853354496.

The previous prime is 4766517752221. The next prime is 4766517752309. The reversal of 4766517752256 is 6522577156674.

4766517752256 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 51 + 7 + 7 + 522 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4766517752193 and 4766517752202.

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 47 ways as a sum of consecutive naturals, for example, 4137525 + ... + 5162571.

It is an arithmetic number, because the mean of its divisors is an integer number (47385918944).

Almost surely, 2^{4766517752256} is an apocalyptic number.

4766517752256 is a gapful number since it is divisible by the number (46) 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 4766517752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960834382592).

4766517752256 is an abundant number, since it is smaller than the sum of its proper divisors (11155151012928).

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

4766517752256 is a wasteful number, since it uses less digits than its factorization.

4766517752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025110 (or 1025088 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 4766517752256 in words is "four trillion, seven hundred sixty-six billion, five hundred seventeen million, seven hundred fifty-two thousand, two hundred fifty-six".