4456747680 has 384 divisors, whose sum is σ = 17981429760. Its totient is φ = 900771840.

The previous prime is 4456747667. The next prime is 4456747703. The reversal of 4456747680 is 867476544.

It is a super-3 number, since 3×4456747680³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1365891 + ... + 1369149.

It is an arithmetic number, because the mean of its divisors is an integer number (46826640).

Almost surely, 2^4456747680 is an apocalyptic number.

4456747680 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 4456747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990714880).

4456747680 is an abundant number, since it is smaller than the sum of its proper divisors (13524682080).

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

4456747680 is a wasteful number, since it uses less digits than its factorization.

4456747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The square root of 4456747680 is about 66758.8771625167. The cubic root of 4456747680 is about 1645.6571045292.

It can be divided in two parts, 445674 and 7680, that added together give a palindrome (453354).

The spelling of 4456747680 in words is "four billion, four hundred fifty-six million, seven hundred forty-seven thousand, six hundred eighty".