4254775680 has 128 divisors (see below), whose sum is σ = 13734259200. Its totient is φ = 1120204800.

The previous prime is 4254775663. The next prime is 4254775703. The reversal of 4254775680 is 865774524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137655 + ... + 165705.

It is an arithmetic number, because the mean of its divisors is an integer number (107298900).

Almost surely, 2^4254775680 is an apocalyptic number.

4254775680 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 4254775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867129600).

4254775680 is an abundant number, since it is smaller than the sum of its proper divisors (9479483520).

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

4254775680 is a wasteful number, since it uses less digits than its factorization.

4254775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28152 (or 28140 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 4254775680 is about 65228.6415618170. The cubic root of 4254775680 is about 1620.4123931056.

The spelling of 4254775680 in words is "four billion, two hundred fifty-four million, seven hundred seventy-five thousand, six hundred eighty".