4072563864 has 96 divisors (see below), whose sum is σ = 11166405120. Its totient is φ = 1340817408.

The previous prime is 4072563863. The next prime is 4072563871. The reversal of 4072563864 is 4683652704.

4072563864 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 5 + 638 + 6 + 4 = 666.

It is a super-2 number, since 2×4072563864² = 33171552852717220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072563863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2349142 + ... + 2350874.

It is an arithmetic number, because the mean of its divisors is an integer number (116316720).

Almost surely, 2^4072563864 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 4072563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583202560).

4072563864 is an abundant number, since it is smaller than the sum of its proper divisors (7093841256).

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

4072563864 is a wasteful number, since it uses less digits than its factorization.

4072563864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4072563864 is about 63816.6425315528. The cubic root of 4072563864 is about 1596.9425811317.

The spelling of 4072563864 in words is "four billion, seventy-two million, five hundred sixty-three thousand, eight hundred sixty-four".