4064635504224 has 96 divisors (see below), whose sum is σ = 11855935405440. Its totient is φ = 1354792957056.

The previous prime is 4064635504211. The next prime is 4064635504277. The reversal of 4064635504224 is 4224055364604.

It is a happy number.

4064635504224 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 635 + 5 + 0 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4064635504224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14363847 + ... + 14644089.

It is an arithmetic number, because the mean of its divisors is an integer number (123499327140).

Almost surely, 2^{4064635504224} is an apocalyptic number.

It is an amenable number.

4064635504224 is an abundant number, since it is smaller than the sum of its proper divisors (7791299901216).

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

4064635504224 is a wasteful number, since it uses less digits than its factorization.

4064635504224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297049 (or 297035 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 4064635504224 in words is "four trillion, sixty-four billion, six hundred thirty-five million, five hundred four thousand, two hundred twenty-four".