4806715680 has 288 divisors, whose sum is σ = 17735333616. Its totient is φ = 1178468352.

The previous prime is 4806715657. The next prime is 4806715687. The reversal of 4806715680 is 865176084.

It is a happy number.

4806715680 is a `hidden beast` number, since 4 + 80 + 6 + 7 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 581195664 + 4225520016 = 24108^2 + 65004^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4806715680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4806715687) 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 47 ways as a sum of consecutive naturals, for example, 8105464 + ... + 8106056.

Almost surely, 2^4806715680 is an apocalyptic number.

4806715680 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 4806715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867666808).

4806715680 is an abundant number, since it is smaller than the sum of its proper divisors (12928617936).

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

4806715680 is a wasteful number, since it uses less digits than its factorization.

4806715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4806715680 is about 69330.4816080200. The cubic root of 4806715680 is about 1687.6516617601.

The spelling of 4806715680 in words is "four billion, eight hundred six million, seven hundred fifteen thousand, six hundred eighty".