4759217344 has 112 divisors (see below), whose sum is σ = 11009376000. Its totient is φ = 1999236096.

The previous prime is 4759217327. The next prime is 4759217357. The reversal of 4759217344 is 4437129574.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4759217294 and 4759217303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5539987 + ... + 5540845.

It is an arithmetic number, because the mean of its divisors is an integer number (98298000).

Almost surely, 2^4759217344 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 4759217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504688000).

4759217344 is an abundant number, since it is smaller than the sum of its proper divisors (6250158656).

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

4759217344 is a wasteful number, since it uses less digits than its factorization.

4759217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 4759217344 is about 68987.0809934730. The cubic root of 4759217344 is about 1682.0743160699.

The spelling of 4759217344 in words is "four billion, seven hundred fifty-nine million, two hundred seventeen thousand, three hundred forty-four".