4660282080 has 768 divisors, whose sum is σ = 18811699200. Its totient is φ = 1070530560.

The previous prime is 4660282073. The next prime is 4660282093. The reversal of 4660282080 is 802820664.

4660282080 is a `hidden beast` number, since 46 + 602 + 8 + 2 + 0 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52362676 + ... + 52362764.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^4660282080 is an apocalyptic number.

4660282080 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 4660282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405849600).

4660282080 is an abundant number, since it is smaller than the sum of its proper divisors (14151417120).

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

4660282080 is a wasteful number, since it uses less digits than its factorization.

4660282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

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

The square root of 4660282080 is about 68266.2587227394. The cubic root of 4660282080 is about 1670.3368725318.

The spelling of 4660282080 in words is "four billion, six hundred sixty million, two hundred eighty-two thousand, eighty".