4456710720 has 1260 divisors, whose sum is σ = 20969500860. Its totient is φ = 894136320.

The previous prime is 4456710719. The next prime is 4456710763. The reversal of 4456710720 is 270176544.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 2489610816 = 44352^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679666 + ... + 153679694.

It is an arithmetic number, because the mean of its divisors is an integer number (16642461).

Almost surely, 2^4456710720 is an apocalyptic number.

4456710720 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 4456710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10484750430).

4456710720 is an abundant number, since it is smaller than the sum of its proper divisors (16512790140).

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

4456710720 is a wasteful number, since it uses less digits than its factorization.

4456710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4456710720 is about 66758.6003448245. The cubic root of 4456710720 is about 1645.6525553482.

The spelling of 4456710720 in words is "four billion, four hundred fifty-six million, seven hundred ten thousand, seven hundred twenty".