4705640576 has 128 divisors (see below), whose sum is σ = 11632373760. Its totient is φ = 1846333440.

The previous prime is 4705640549. The next prime is 4705640627. The reversal of 4705640576 is 6750465074.

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

It is a super-2 number, since 2×4705640576² = 44286106460995223552, which contains 22 as substring.

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, 1477706 + ... + 1480886.

It is an arithmetic number, because the mean of its divisors is an integer number (90877920).

Almost surely, 2^4705640576 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 4705640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816186880).

4705640576 is an abundant number, since it is smaller than the sum of its proper divisors (6926733184).

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

4705640576 is a wasteful number, since it uses less digits than its factorization.

4705640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 4705640576 is about 68597.6717972265. The cubic root of 4705640576 is about 1675.7385116169.

The spelling of 4705640576 in words is "four billion, seven hundred five million, six hundred forty thousand, five hundred seventy-six".