8124269548640 has 288 divisors, whose sum is σ = 22652488452384. Its totient is φ = 2744952053760.

The previous prime is 8124269548589. The next prime is 8124269548667. The reversal of 8124269548640 is 468459624218.

It is a self number, because there is not a number n which added to its sum of digits gives 8124269548640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748016810 + ... + 748027670.

It is an arithmetic number, because the mean of its divisors is an integer number (78654473793).

Almost surely, 2^{8124269548640} is an apocalyptic number.

8124269548640 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 8124269548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326244226192).

8124269548640 is an abundant number, since it is smaller than the sum of its proper divisors (14528218903744).

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

8124269548640 is a wasteful number, since it uses less digits than its factorization.

8124269548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 59.

The spelling of 8124269548640 in words is "eight trillion, one hundred twenty-four billion, two hundred sixty-nine million, five hundred forty-eight thousand, six hundred forty".