8682085440 has 560 divisors, whose sum is σ = 35700614400. Its totient is φ = 1961791488.

The previous prime is 8682085427. The next prime is 8682085457. The reversal of 8682085440 is 445802868.

8682085440 is a `hidden beast` number, since 86 + 8 + 20 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×8682085440³ (a number of 31 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19776741 + ... + 19777179.

Almost surely, 2^8682085440 is an apocalyptic number.

8682085440 is a gapful number since it is divisible by the number (80) 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 8682085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850307200).

8682085440 is an abundant number, since it is smaller than the sum of its proper divisors (27018528960).

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

8682085440 is a wasteful number, since it uses less digits than its factorization.

8682085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8682085440 is about 93177.7089222524. The cubic root of 8682085440 is about 2055.2974581401.

The spelling of 8682085440 in words is "eight billion, six hundred eighty-two million, eighty-five thousand, four hundred forty".