4251809664 has 256 divisors, whose sum is σ = 13405248000. Its totient is φ = 1322790912.

The previous prime is 4251809663. The next prime is 4251809669. The reversal of 4251809664 is 4669081524.

4251809664 is a `hidden beast` number, since 42 + 518 + 0 + 96 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251809663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4793029 + ... + 4793915.

It is an arithmetic number, because the mean of its divisors is an integer number (52364250).

Almost surely, 2^4251809664 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 4251809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702624000).

4251809664 is an abundant number, since it is smaller than the sum of its proper divisors (9153438336).

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

4251809664 is a wasteful number, since it uses less digits than its factorization.

4251809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

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

The square root of 4251809664 is about 65205.9020641537. The cubic root of 4251809664 is about 1620.0357742443.

The spelling of 4251809664 in words is "four billion, two hundred fifty-one million, eight hundred nine thousand, six hundred sixty-four".