8436031795968 has 288 divisors, whose sum is σ = 27313615526400. Its totient is φ = 2257778147328.

The previous prime is 8436031795963. The next prime is 8436031796009. The reversal of 8436031795968 is 8695971306348.

It is not an unprimeable number, because it can be changed into a prime (8436031795963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8626830 + ... + 9554802.

It is an arithmetic number, because the mean of its divisors is an integer number (94838942800).

Almost surely, 2^{8436031795968} 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 8436031795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656807763200).

8436031795968 is an abundant number, since it is smaller than the sum of its proper divisors (18877583730432).

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

8436031795968 is a wasteful number, since it uses less digits than its factorization.

8436031795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928107 (or 928093 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 8436031795968 in words is "eight trillion, four hundred thirty-six billion, thirty-one million, seven hundred ninety-five thousand, nine hundred sixty-eight".