8324259840 has 560 divisors, whose sum is σ = 32304261528. Its totient is φ = 2038431744.

The previous prime is 8324259833. The next prime is 8324259863. The reversal of 8324259840 is 489524238.

It can be written as a sum of positive squares in 4 ways, for example, as 4087812096 + 4236447744 = 63936^2 + 65088^2 .

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 39 ways as a sum of consecutive naturals, for example, 43130784 + ... + 43130976.

Almost surely, 2^8324259840 is an apocalyptic number.

8324259840 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 8324259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152130764).

8324259840 is an abundant number, since it is smaller than the sum of its proper divisors (23980001688).

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

8324259840 is a wasteful number, since it uses less digits than its factorization.

8324259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8324259840 is about 91237.3818125005. The cubic root of 8324259840 is about 2026.6645737128.

The spelling of 8324259840 in words is "eight billion, three hundred twenty-four million, two hundred fifty-nine thousand, eight hundred forty".