4065984000 has 640 divisors, whose sum is σ = 16265208960. Its totient is φ = 995328000.

The previous prime is 4065983927. The next prime is 4065984029. The reversal of 4065984000 is 4895604.

4065984000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22463910 + ... + 22464090.

It is an arithmetic number, because the mean of its divisors is an integer number (25414389).

Almost surely, 2^4065984000 is an apocalyptic number.

4065984000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132604480).

4065984000 is an abundant number, since it is smaller than the sum of its proper divisors (12199224960).

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

4065984000 is a wasteful number, since it uses less digits than its factorization.

4065984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4065984000 is about 63765.0688073023. The cubic root of 4065984000 is about 1596.0820806901.

The spelling of 4065984000 in words is "four billion, sixty-five million, nine hundred eighty-four thousand".