805214067840 has 1536 divisors, whose sum is σ = 3536664768000. Its totient is φ = 167729135616.

The previous prime is 805214067809. The next prime is 805214067841. The reversal of 805214067840 is 48760412508.

805214067840 is a `hidden beast` number, since 8 + 0 + 521 + 40 + 6 + 7 + 84 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (805214067841) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2748170734 + ... + 2748171026.

It is an arithmetic number, because the mean of its divisors is an integer number (2302516125).

Almost surely, 2^805214067840 is an apocalyptic number.

805214067840 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 805214067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768332384000).

805214067840 is an abundant number, since it is smaller than the sum of its proper divisors (2731450700160).

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

805214067840 is a wasteful number, since it uses less digits than its factorization.

805214067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 805214067840 in words is "eight hundred five billion, two hundred fourteen million, sixty-seven thousand, eight hundred forty".