4208064000 has 640 divisors, whose sum is σ = 16668647424. Its totient is φ = 921600000.

The previous prime is 4208063957. The next prime is 4208064001. The reversal of 4208064000 is 4608024.

4208064000 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208064001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41663950 + ... + 41664050.

Almost surely, 2^4208064000 is an apocalyptic number.

4208064000 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 4208064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334323712).

4208064000 is an abundant number, since it is smaller than the sum of its proper divisors (12460583424).

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

4208064000 is a wasteful number, since it uses less digits than its factorization.

4208064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4208064000 is about 64869.5922601645. The cubic root of 4208064000 is about 1614.4605802016.

The spelling of 4208064000 in words is "four billion, two hundred eight million, sixty-four thousand".