4065564000 has 192 divisors, whose sum is σ = 13630256640. Its totient is φ = 1058803200.

The previous prime is 4065563987. The next prime is 4065564001. The reversal of 4065564000 is 4655604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065564001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512061 + ... + 519939.

It is an arithmetic number, because the mean of its divisors is an integer number (70990920).

Almost surely, 2^4065564000 is an apocalyptic number.

4065564000 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 4065564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815128320).

4065564000 is an abundant number, since it is smaller than the sum of its proper divisors (9564692640).

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

4065564000 is a wasteful number, since it uses less digits than its factorization.

4065564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4065564000 is about 63761.7753830616. The cubic root of 4065564000 is about 1596.0271224843.

The spelling of 4065564000 in words is "four billion, sixty-five million, five hundred sixty-four thousand".