8459675840 has 224 divisors, whose sum is σ = 25983590400. Its totient is φ = 2545643520.

The previous prime is 8459675831. The next prime is 8459675857. The reversal of 8459675840 is 485769548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8459675840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708641 + ... + 720479.

Almost surely, 2^8459675840 is an apocalyptic number.

8459675840 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 8459675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991795200).

8459675840 is an abundant number, since it is smaller than the sum of its proper divisors (17523914560).

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

8459675840 is a wasteful number, since it uses less digits than its factorization.

8459675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The square root of 8459675840 is about 91976.4961280870. The cubic root of 8459675840 is about 2037.5951926619.

The spelling of 8459675840 in words is "eight billion, four hundred fifty-nine million, six hundred seventy-five thousand, eight hundred forty".