8124810389640 has 768 divisors, whose sum is σ = 32953987123200. Its totient is φ = 1743896604672.

The previous prime is 8124810389627. The next prime is 8124810389669. The reversal of 8124810389640 is 469830184218.

It is a happy number.

8124810389640 is a `hidden beast` number, since 8 + 1 + 2 + 481 + 0 + 38 + 96 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1020316299 + ... + 1020324261.

It is an arithmetic number, because the mean of its divisors is an integer number (42908837400).

Almost surely, 2^{8124810389640} 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 8124810389640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476993561600).

8124810389640 is an abundant number, since it is smaller than the sum of its proper divisors (24829176733560).

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

8124810389640 is a wasteful number, since it uses less digits than its factorization.

8124810389640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 8124810389640 in words is "eight trillion, one hundred twenty-four billion, eight hundred ten million, three hundred eighty-nine thousand, six hundred forty".