4480375680 has 576 divisors, whose sum is σ = 17706714480. Its totient is φ = 1074954240.

The previous prime is 4480375673. The next prime is 4480375681. The reversal of 4480375680 is 865730844.

4480375680 is a `hidden beast` number, since 4 + 4 + 80 + 3 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480375681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46189392 + ... + 46189488.

Almost surely, 2^4480375680 is an apocalyptic number.

4480375680 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 4480375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853357240).

4480375680 is an abundant number, since it is smaller than the sum of its proper divisors (13226338800).

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

4480375680 is an frugal number, since it uses more digits than its factorization.

4480375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4480375680 is about 66935.6084606691. The cubic root of 4480375680 is about 1648.5601985301.

The spelling of 4480375680 in words is "four billion, four hundred eighty million, three hundred seventy-five thousand, six hundred eighty".