800065808640 has 864 divisors, whose sum is σ = 3307359444480. Its totient is φ = 174696431616.

The previous prime is 800065808623. The next prime is 800065808657. The reversal of 800065808640 is 46808560008.

800065808640 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 6 + 580 + 8 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (800065808623) and next prime (800065808657).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 226838557 + ... + 226842083.

It is an arithmetic number, because the mean of its divisors is an integer number (3827962320).

Almost surely, 2^800065808640 is an apocalyptic number.

800065808640 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 800065808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653679722240).

800065808640 is an abundant number, since it is smaller than the sum of its proper divisors (2507293635840).

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

800065808640 is a wasteful number, since it uses less digits than its factorization.

800065808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 800065808640 in words is "eight hundred billion, sixty-five million, eight hundred eight thousand, six hundred forty".