4064660800 has 42 divisors (see below), whose sum is σ = 10001609918. Its totient is φ = 1625863680.

The previous prime is 4064660791. The next prime is 4064660801. The reversal of 4064660800 is 80664604.

It can be written as a sum of positive squares in 3 ways, for example, as 323136576 + 3741524224 = 17976^2 + 61168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064660801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1268607 + ... + 1271806.

Almost surely, 2^4064660800 is an apocalyptic number.

4064660800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064660800 is an abundant number, since it is smaller than the sum of its proper divisors (5936949118).

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

4064660800 is a wasteful number, since it uses less digits than its factorization.

4064660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540435 (or 2540420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4064660800 is about 63754.6923763263. The cubic root of 4064660800 is about 1595.9089233480.

The spelling of 4064660800 in words is "four billion, sixty-four million, six hundred sixty thousand, eight hundred".