4064644600 has 96 divisors (see below), whose sum is σ = 9708753600. Its totient is φ = 1581811200.

The previous prime is 4064644589. The next prime is 4064644613. The reversal of 4064644600 is 64464604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1700206 + ... + 1702594.

It is an arithmetic number, because the mean of its divisors is an integer number (101132850).

Almost surely, 2^4064644600 is an apocalyptic number.

4064644600 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 4064644600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854376800).

4064644600 is an abundant number, since it is smaller than the sum of its proper divisors (5644109000).

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

4064644600 is a wasteful number, since it uses less digits than its factorization.

4064644600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 4064644600 is about 63754.5653267278. The cubic root of 4064644600 is about 1595.9068031417.

The spelling of 4064644600 in words is "four billion, sixty-four million, six hundred forty-four thousand, six hundred".