4125809664 has 264 divisors, whose sum is σ = 12473107920. Its totient is φ = 1312358400.

The previous prime is 4125809647. The next prime is 4125809687. The reversal of 4125809664 is 4669085214.

4125809664 is a `hidden beast` number, since 4 + 1 + 2 + 580 + 9 + 6 + 64 = 666.

4125809664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23049127 + ... + 23049305.

Almost surely, 2^4125809664 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 4125809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236553960).

4125809664 is an abundant number, since it is smaller than the sum of its proper divisors (8347298256).

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

4125809664 is a wasteful number, since it uses less digits than its factorization.

4125809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4125809664 is about 64232.4658097445. The cubic root of 4125809664 is about 1603.8720884394.

The spelling of 4125809664 in words is "four billion, one hundred twenty-five million, eight hundred nine thousand, six hundred sixty-four".