4063682304 has 576 divisors, whose sum is σ = 14422464000. Its totient is φ = 1114767360.

The previous prime is 4063682299. The next prime is 4063682327. The reversal of 4063682304 is 4032863604.

It is a happy number.

4063682304 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 (576).

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, 41893584 + ... + 41893680.

It is an arithmetic number, because the mean of its divisors is an integer number (25039000).

Almost surely, 2^4063682304 is an apocalyptic number.

4063682304 is a gapful number since it is divisible by the number (44) 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 4063682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211232000).

4063682304 is an abundant number, since it is smaller than the sum of its proper divisors (10358781696).

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

4063682304 is a wasteful number, since it uses less digits than its factorization.

4063682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4063682304 is about 63747.0180008446. The cubic root of 4063682304 is about 1595.7808506830.

The spelling of 4063682304 in words is "four billion, sixty-three million, six hundred eighty-two thousand, three hundred four".