8231408640 has 792 divisors, whose sum is σ = 35530155648. Its totient is φ = 1725235200.

The previous prime is 8231408639. The next prime is 8231408657. The reversal of 8231408640 is 468041328.

8231408640 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 4 + 0 + 8 + 640 = 666.

It is a super-3 number, since 3×8231408640³ (a number of 31 digits) contains 333 as substring.

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 = 8231408595 and 8231408604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54512565 + ... + 54512715.

Almost surely, 2^8231408640 is an apocalyptic number.

8231408640 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 8231408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765077824).

8231408640 is an abundant number, since it is smaller than the sum of its proper divisors (27298747008).

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

8231408640 is a wasteful number, since it uses less digits than its factorization.

8231408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8231408640 is about 90727.1108324298. The cubic root of 8231408640 is about 2019.1010475727.

Adding to 8231408640 its reverse (468041328), we get a palindrome (8699449968).

The spelling of 8231408640 in words is "eight billion, two hundred thirty-one million, four hundred eight thousand, six hundred forty".