8325518040 has 512 divisors, whose sum is σ = 33696000000. Its totient is φ = 1786116096.

The previous prime is 8325518039. The next prime is 8325518087. The reversal of 8325518040 is 408155238.

It is a happy number.

8325518040 is a `hidden beast` number, since 83 + 25 + 518 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8325517986 and 8325518004.

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 127 ways as a sum of consecutive naturals, for example, 21402166 + ... + 21402554.

It is an arithmetic number, because the mean of its divisors is an integer number (65812500).

Almost surely, 2^8325518040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8325518040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000000).

8325518040 is an abundant number, since it is smaller than the sum of its proper divisors (25370481960).

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

8325518040 is a wasteful number, since it uses less digits than its factorization.

8325518040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8325518040 is about 91244.2767520243. The cubic root of 8325518040 is about 2026.7666777218.

The spelling of 8325518040 in words is "eight billion, three hundred twenty-five million, five hundred eighteen thousand, forty".