8086573440 has 768 divisors, whose sum is σ = 32880556800. Its totient is φ = 1881169920.

The previous prime is 8086573433. The next prime is 8086573457. The reversal of 8086573440 is 443756808.

8086573440 is a `hidden beast` number, since 80 + 8 + 65 + 73 + 440 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 49610799 + ... + 49610961.

It is an arithmetic number, because the mean of its divisors is an integer number (42813225).

Almost surely, 2^8086573440 is an apocalyptic number.

8086573440 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 8086573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440278400).

8086573440 is an abundant number, since it is smaller than the sum of its proper divisors (24793983360).

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

8086573440 is a wasteful number, since it uses less digits than its factorization.

8086573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

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

The square root of 8086573440 is about 89925.3770634297. The cubic root of 8086573440 is about 2007.1885845035.

The spelling of 8086573440 in words is "eight billion, eighty-six million, five hundred seventy-three thousand, four hundred forty".