8107826687904 has 192 divisors, whose sum is σ = 23176566927360. Its totient is φ = 2472344156160.

The previous prime is 8107826687899. The next prime is 8107826687927. The reversal of 8107826687904 is 4097866287018.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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, 25683727 + ... + 25997489.

It is an arithmetic number, because the mean of its divisors is an integer number (120711286080).

Almost surely, 2^{8107826687904} 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 8107826687904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588283463680).

8107826687904 is an abundant number, since it is smaller than the sum of its proper divisors (15068740239456).

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

8107826687904 is a wasteful number, since it uses less digits than its factorization.

8107826687904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314283 (or 314275 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 8107826687904 in words is "eight trillion, one hundred seven billion, eight hundred twenty-six million, six hundred eighty-seven thousand, nine hundred four".