8459324640 has 768 divisors, whose sum is σ = 33977180160. Its totient is φ = 1950842880.

The previous prime is 8459324639. The next prime is 8459324641. The reversal of 8459324640 is 464239548.

It is an interprime number because it is at equal distance from previous prime (8459324639) and next prime (8459324641).

It is a super-2 number, since 2×8459324640² (a number of 21 digits) contains 22 as substring.

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 (8459324641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74861224 + ... + 74861336.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 2^8459324640 is an apocalyptic number.

8459324640 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 8459324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

8459324640 is an abundant number, since it is smaller than the sum of its proper divisors (25517855520).

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

8459324640 is a wasteful number, since it uses less digits than its factorization.

8459324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8459324640 is about 91974.5869248675. The cubic root of 8459324640 is about 2037.5669956266.

The spelling of 8459324640 in words is "eight billion, four hundred fifty-nine million, three hundred twenty-four thousand, six hundred forty".