4288745664 has 224 divisors, whose sum is σ = 15168473600. Its totient is φ = 1160801280.

The previous prime is 4288745641. The next prime is 4288745689. The reversal of 4288745664 is 4665478824.

It is a happy number.

4288745664 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 74 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4288745664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220494 + ... + 239154.

It is an arithmetic number, because the mean of its divisors is an integer number (67716400).

Almost surely, 2^4288745664 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 4288745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584236800).

4288745664 is an abundant number, since it is smaller than the sum of its proper divisors (10879727936).

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

4288745664 is a wasteful number, since it uses less digits than its factorization.

4288745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 18692 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4288745664 is about 65488.5155122637. The cubic root of 4288745664 is about 1624.7134060573.

The spelling of 4288745664 in words is "four billion, two hundred eighty-eight million, seven hundred forty-five thousand, six hundred sixty-four".