8123892692640 has 192 divisors, whose sum is σ = 25963280179200. Its totient is φ = 2134822753280.

The previous prime is 8123892692639. The next prime is 8123892692683. The reversal of 8123892692640 is 462962983218.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71477137 + ... + 71590703.

It is an arithmetic number, because the mean of its divisors is an integer number (135225417600).

Almost surely, 2^{8123892692640} is an apocalyptic number.

8123892692640 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 8123892692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981640089600).

8123892692640 is an abundant number, since it is smaller than the sum of its proper divisors (17839387486560).

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

8123892692640 is a wasteful number, since it uses less digits than its factorization.

8123892692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115755 (or 115747 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 8123892692640 in words is "eight trillion, one hundred twenty-three billion, eight hundred ninety-two million, six hundred ninety-two thousand, six hundred forty".