8140374338768 has 320 divisors, whose sum is σ = 20007185172480. Its totient is φ = 3130816665600.

The previous prime is 8140374338699. The next prime is 8140374338773. The reversal of 8140374338768 is 8678334730418.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8140374338768.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 546656603 + ... + 546671493.

It is an arithmetic number, because the mean of its divisors is an integer number (62522453664).

Almost surely, 2^{8140374338768} 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 8140374338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003592586240).

8140374338768 is an abundant number, since it is smaller than the sum of its proper divisors (11866810833712).

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

8140374338768 is a wasteful number, since it uses less digits than its factorization.

8140374338768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 62.

The spelling of 8140374338768 in words is "eight trillion, one hundred forty billion, three hundred seventy-four million, three hundred thirty-eight thousand, seven hundred sixty-eight".