4284737664 has 192 divisors, whose sum is σ = 12470332320. Its totient is φ = 1298964480.

The previous prime is 4284737663. The next prime is 4284737683. The reversal of 4284737664 is 4667374824.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4284737663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6273067 + ... + 6273749.

Almost surely, 2^4284737664 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 4284737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235166160).

4284737664 is an abundant number, since it is smaller than the sum of its proper divisors (8185594656).

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

4284737664 is a wasteful number, since it uses less digits than its factorization.

4284737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 736 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 51.

The square root of 4284737664 is about 65457.9075742572. The cubic root of 4284737664 is about 1624.2071289760.

The spelling of 4284737664 in words is "four billion, two hundred eighty-four million, seven hundred thirty-seven thousand, six hundred sixty-four".