4022648064 has 108 divisors (see below), whose sum is σ = 11757658276. Its totient is φ = 1322459136.

The previous prime is 4022648059. The next prime is 4022648083. The reversal of 4022648064 is 4608462204.

It is a happy number.

4022648064 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 648 + 0 + 6 + 4 = 666.

4022648064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2373638400 + 1649009664 = 48720^2 + 40608^2 .

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 11 ways as a sum of consecutive naturals, for example, 156234 + ... + 180150.

Almost surely, 2^4022648064 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 4022648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878829138).

4022648064 is an abundant number, since it is smaller than the sum of its proper divisors (7735010212).

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

4022648064 is a wasteful number, since it uses less digits than its factorization.

4022648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24012 (or 23995 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4022648064 is about 63424.3491413195. The cubic root of 4022648064 is about 1590.3913786750.

The spelling of 4022648064 in words is "four billion, twenty-two million, six hundred forty-eight thousand, sixty-four".