4454379680 has 96 divisors (see below), whose sum is σ = 10920719376. Its totient is φ = 1715503104.

The previous prime is 4454379679. The next prime is 4454379689. The reversal of 4454379680 is 869734544.

It can be written as a sum of positive squares in 8 ways, for example, as 3507955984 + 946423696 = 59228^2 + 30764^2 .

It is not an unprimeable number, because it can be changed into a prime (4454379689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570362 + ... + 578118.

Almost surely, 2^4454379680 is an apocalyptic number.

4454379680 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 4454379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460359688).

4454379680 is an abundant number, since it is smaller than the sum of its proper divisors (6466339696).

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

4454379680 is a wasteful number, since it uses less digits than its factorization.

4454379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The square root of 4454379680 is about 66741.1393369936. The cubic root of 4454379680 is about 1645.3655910243.

The spelling of 4454379680 in words is "four billion, four hundred fifty-four million, three hundred seventy-nine thousand, six hundred eighty".