4482535680 has 432 divisors, whose sum is σ = 18510791040. Its totient is φ = 1024192512.

The previous prime is 4482535667. The next prime is 4482535693. The reversal of 4482535680 is 865352844.

4482535680 is a `hidden beast` number, since 4 + 4 + 82 + 5 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4482535667) and next prime (4482535693).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4482535680² = 40186252244946124800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692117 + ... + 1694763.

Almost surely, 2^4482535680 is an apocalyptic number.

4482535680 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 4482535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255395520).

4482535680 is an abundant number, since it is smaller than the sum of its proper divisors (14028255360).

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

4482535680 is a wasteful number, since it uses less digits than its factorization.

4482535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4482535680 is about 66951.7414261944. The cubic root of 4482535680 is about 1648.8250809268.

The spelling of 4482535680 in words is "four billion, four hundred eighty-two million, five hundred thirty-five thousand, six hundred eighty".