4063832064 has 144 divisors (see below), whose sum is σ = 11989373760. Its totient is φ = 1325506560.

The previous prime is 4063832051. The next prime is 4063832083. The reversal of 4063832064 is 4602383604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863959 + ... + 868649.

It is an arithmetic number, because the mean of its divisors is an integer number (83259540).

Almost surely, 2^4063832064 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 4063832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994686880).

4063832064 is an abundant number, since it is smaller than the sum of its proper divisors (7925541696).

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

4063832064 is a wasteful number, since it uses less digits than its factorization.

4063832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4743 counting only the distinct ones).

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

The square root of 4063832064 is about 63748.1926332033. The cubic root of 4063832064 is about 1595.8004536922.

The spelling of 4063832064 in words is "four billion, sixty-three million, eight hundred thirty-two thousand, sixty-four".