8185328640 has 704 divisors, whose sum is σ = 31905688320. Its totient is φ = 2006581248.

The previous prime is 8185328617. The next prime is 8185328651. The reversal of 8185328640 is 468235818.

It is a super-3 number, since 3×8185328640³ (a number of 31 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190356459 + ... + 190356501.

It is an arithmetic number, because the mean of its divisors is an integer number (45320580).

Almost surely, 2^8185328640 is an apocalyptic number.

8185328640 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 8185328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952844160).

8185328640 is an abundant number, since it is smaller than the sum of its proper divisors (23720359680).

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

8185328640 is an equidigital number, since it uses as much as digits as its factorization.

8185328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8185328640 is about 90472.8060800592. The cubic root of 8185328640 is about 2015.3263055062.

The spelling of 8185328640 in words is "eight billion, one hundred eighty-five million, three hundred twenty-eight thousand, six hundred forty".