4817394766080 has 432 divisors, whose sum is σ = 17977666792176. Its totient is φ = 1183980257280.

The previous prime is 4817394766033. The next prime is 4817394766081. The reversal of 4817394766080 is 806674937184.

4817394766080 is a `hidden beast` number, since 4 + 8 + 17 + 3 + 9 + 4 + 7 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1158223659264 + 3659171106816 = 1076208^2 + 1912896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4817394765999 and 4817394766017.

It is not an unprimeable number, because it can be changed into a prime (4817394766081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97768650 + ... + 97817910.

Almost surely, 2^{4817394766080} is an apocalyptic number.

4817394766080 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 4817394766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988833396088).

4817394766080 is an abundant number, since it is smaller than the sum of its proper divisors (13160272026096).

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

4817394766080 is a wasteful number, since it uses less digits than its factorization.

4817394766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49954 (or 49937 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4817394766080 in words is "four trillion, eight hundred seventeen billion, three hundred ninety-four million, seven hundred sixty-six thousand, eighty".