806008424417280 has 1728 divisors, whose sum is σ = 3492085469483520. Its totient is φ = 170804357627904.

The previous prime is 806008424417279. The next prime is 806008424417323. The reversal of 806008424417280 is 82714424800608.

806008424417280 is a `hidden beast` number, since 8 + 0 + 600 + 8 + 4 + 2 + 4 + 4 + 1 + 7 + 28 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5143463409 + ... + 5143620111.

It is an arithmetic number, because the mean of its divisors is an integer number (2020882794840).

Almost surely, 2^{806008424417280} is an apocalyptic number.

806008424417280 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 806008424417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746042734741760).

806008424417280 is an abundant number, since it is smaller than the sum of its proper divisors (2686077045066240).

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

806008424417280 is a wasteful number, since it uses less digits than its factorization.

806008424417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156834 (or 156804 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 806008424417280 in words is "eight hundred six trillion, eight billion, four hundred twenty-four million, four hundred seventeen thousand, two hundred eighty".