4066480080 has 240 divisors, whose sum is σ = 14754055680. Its totient is φ = 997788672.

The previous prime is 4066480051. The next prime is 4066480129. The reversal of 4066480080 is 800846604.

4066480080 is a `hidden beast` number, since 4 + 0 + 6 + 648 + 0 + 0 + 8 + 0 = 666.

4066480080 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 4482987 + ... + 4483893.

It is an arithmetic number, because the mean of its divisors is an integer number (61475232).

Almost surely, 2^4066480080 is an apocalyptic number.

4066480080 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 4066480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377027840).

4066480080 is an abundant number, since it is smaller than the sum of its proper divisors (10687575600).

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

4066480080 is a wasteful number, since it uses less digits than its factorization.

4066480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4066480080 is about 63768.9585927197. The cubic root of 4066480080 is about 1596.1469893075.

The spelling of 4066480080 in words is "four billion, sixty-six million, four hundred eighty thousand, eighty".