8107903268640 has 576 divisors, whose sum is σ = 31761389447424. Its totient is φ = 1845013192704.

The previous prime is 8107903268629. The next prime is 8107903268651. The reversal of 8107903268640 is 468623097018.

It is an interprime number because it is at equal distance from previous prime (8107903268629) and next prime (8107903268651).

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 95 ways as a sum of consecutive naturals, for example, 4080473727 + ... + 4080475713.

It is an arithmetic number, because the mean of its divisors is an integer number (55141301124).

Almost surely, 2^{8107903268640} is an apocalyptic number.

8107903268640 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 8107903268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880694723712).

8107903268640 is an abundant number, since it is smaller than the sum of its proper divisors (23653486178784).

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

8107903268640 is a wasteful number, since it uses less digits than its factorization.

8107903268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8107903268640 in words is "eight trillion, one hundred seven billion, nine hundred three million, two hundred sixty-eight thousand, six hundred forty".