4765225344 has 128 divisors (see below), whose sum is σ = 13880160000. Its totient is φ = 1436497920.

The previous prime is 4765225321. The next prime is 4765225351. The reversal of 4765225344 is 4435225674.

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

It is a junction number, because it is equal to n+sod(n) for n = 4765225296 and 4765225305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837742 + ... + 843410.

It is an arithmetic number, because the mean of its divisors is an integer number (108438750).

Almost surely, 2^4765225344 is an apocalyptic number.

4765225344 is a gapful number since it is divisible by the number (44) 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 4765225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080000).

4765225344 is an abundant number, since it is smaller than the sum of its proper divisors (9114934656).

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

4765225344 is a wasteful number, since it uses less digits than its factorization.

4765225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5884 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The square root of 4765225344 is about 69030.6116444002. The cubic root of 4765225344 is about 1682.7818310668.

The spelling of 4765225344 in words is "four billion, seven hundred sixty-five million, two hundred twenty-five thousand, three hundred forty-four".