800636368896 has 1344 divisors, whose sum is σ = 3031823208960. Its totient is φ = 205674577920.

The previous prime is 800636368841. The next prime is 800636368957. The reversal of 800636368896 is 698863636008.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9646221271 + ... + 9646221353.

It is an arithmetic number, because the mean of its divisors is an integer number (2255820840).

Almost surely, 2^800636368896 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 800636368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515911604480).

800636368896 is an abundant number, since it is smaller than the sum of its proper divisors (2231186840064).

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

800636368896 is an equidigital number, since it uses as much as digits as its factorization.

800636368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 800636368896 in words is "eight hundred billion, six hundred thirty-six million, three hundred sixty-eight thousand, eight hundred ninety-six".