4452127680 has 896 divisors, whose sum is σ = 19614099456. Its totient is φ = 825753600.

The previous prime is 4452127643. The next prime is 4452127703. The reversal of 4452127680 is 867212544.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 39399304 + ... + 39399416.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736).

Almost surely, 2^4452127680 is an apocalyptic number.

4452127680 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 4452127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807049728).

4452127680 is an abundant number, since it is smaller than the sum of its proper divisors (15161971776).

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

4452127680 is a wasteful number, since it uses less digits than its factorization.

4452127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 4452127680 is about 66724.2660506656. The cubic root of 4452127680 is about 1645.0882618792.

The spelling of 4452127680 in words is "four billion, four hundred fifty-two million, one hundred twenty-seven thousand, six hundred eighty".