4009683264 has 112 divisors (see below), whose sum is σ = 11006035392. Its totient is φ = 1287401472.

The previous prime is 4009683217. The next prime is 4009683283. The reversal of 4009683264 is 4623869004.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 599362 + ... + 606014.

Almost surely, 2^4009683264 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 4009683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503017696).

4009683264 is an abundant number, since it is smaller than the sum of its proper divisors (6996352128).

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

4009683264 is a wasteful number, since it uses less digits than its factorization.

4009683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4009683264 is about 63322.0598527875. The cubic root of 4009683264 is about 1588.6809550082.

The spelling of 4009683264 in words is "four billion, nine million, six hundred eighty-three thousand, two hundred sixty-four".