4009744768 has 64 divisors (see below), whose sum is σ = 8105389200. Its totient is φ = 1975615488.

The previous prime is 4009744747. The next prime is 4009744799. The reversal of 4009744768 is 8674479004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5957680 + ... + 5958352.

Almost surely, 2^4009744768 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 4009744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052694600).

4009744768 is an abundant number, since it is smaller than the sum of its proper divisors (4095644432).

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

4009744768 is an equidigital number, since it uses as much as digits as its factorization.

4009744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 4009744768 is about 63322.5454952657. The cubic root of 4009744768 is about 1588.6890778222.

The spelling of 4009744768 in words is "four billion, nine million, seven hundred forty-four thousand, seven hundred sixty-eight".