4160782080 has 1008 divisors, whose sum is σ = 18766372800. Its totient is φ = 877879296.

The previous prime is 4160782063. The next prime is 4160782081. The reversal of 4160782080 is 802870614.

4160782080 is a `hidden beast` number, since 41 + 607 + 8 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160782081) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060154 + ... + 320060166.

Almost surely, 2^4160782080 is an apocalyptic number.

4160782080 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 4160782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383186400).

4160782080 is an abundant number, since it is smaller than the sum of its proper divisors (14605590720).

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

4160782080 is an frugal number, since it uses more digits than its factorization.

4160782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4160782080 is about 64504.1245192895. The cubic root of 4160782080 is about 1608.3910833127.

The spelling of 4160782080 in words is "four billion, one hundred sixty million, seven hundred eighty-two thousand, eighty".