4066357824 has 63 divisors (see below), whose sum is σ = 11659868857. Its totient is φ = 1354942464.

The previous prime is 4066357811. The next prime is 4066357837. The reversal of 4066357824 is 4287536604.

The square root of 4066357824 is 63768.

It is a perfect power (a square), and thus also a powerful number.

4066357824 is a `hidden beast` number, since 4 + 0 + 6 + 635 + 7 + 8 + 2 + 4 = 666.

4066357824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4066357811) and next prime (4066357837).

It can be written as a sum of positive squares in only one way, i.e., 2650190400 + 1416167424 = 51480^2 + 37632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4066357824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1529104 + ... + 1531760.

Almost surely, 2^4066357824 is an apocalyptic number.

4066357824 is the 63768-th square number.

It is an amenable number.

4066357824 is an abundant number, since it is smaller than the sum of its proper divisors (7593511033).

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

4066357824 is an frugal number, since it uses more digits than its factorization.

4066357824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The cubic root of 4066357824 is about 1596.1309934505.

The spelling of 4066357824 in words is "four billion, sixty-six million, three hundred fifty-seven thousand, eight hundred twenty-four".