4759291264 has 128 divisors (see below), whose sum is σ = 11707315200. Its totient is φ = 1876690944.

The previous prime is 4759291259. The next prime is 4759291267. The reversal of 4759291264 is 4621929574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4759291267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5672157 + ... + 5672995.

It is an arithmetic number, because the mean of its divisors is an integer number (91463400).

Almost surely, 2^4759291264 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 4759291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853657600).

4759291264 is an abundant number, since it is smaller than the sum of its proper divisors (6948023936).

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

4759291264 is a wasteful number, since it uses less digits than its factorization.

4759291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 4759291264 is about 68987.6167438766. The cubic root of 4759291264 is about 1682.0830246650.

The spelling of 4759291264 in words is "four billion, seven hundred fifty-nine million, two hundred ninety-one thousand, two hundred sixty-four".