4705027680 has 192 divisors, whose sum is σ = 15102097920. Its totient is φ = 1231110144.

The previous prime is 4705027673. The next prime is 4705027687. The reversal of 4705027680 is 867205074.

It is an interprime number because it is at equal distance from previous prime (4705027673) and next prime (4705027687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705027687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6471477 + ... + 6472203.

It is an arithmetic number, because the mean of its divisors is an integer number (78656760).

Almost surely, 2^4705027680 is an apocalyptic number.

4705027680 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 4705027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551048960).

4705027680 is an abundant number, since it is smaller than the sum of its proper divisors (10397070240).

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

4705027680 is a wasteful number, since it uses less digits than its factorization.

4705027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 4705027680 is about 68593.2043281257. The cubic root of 4705027680 is about 1675.6657551021.

The spelling of 4705027680 in words is "four billion, seven hundred five million, twenty-seven thousand, six hundred eighty".