806435350272 has 144 divisors (see below), whose sum is σ = 2397131496480. Its totient is φ = 267418533888.

The previous prime is 806435350261. The next prime is 806435350277. The reversal of 806435350272 is 272053534608.

806435350272 is a `hidden beast` number, since 8 + 0 + 6 + 43 + 535 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806435350277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031758 + ... + 1636274.

Almost surely, 2^806435350272 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 806435350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198565748240).

806435350272 is an abundant number, since it is smaller than the sum of its proper divisors (1590696146208).

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

806435350272 is a wasteful number, since it uses less digits than its factorization.

806435350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604735 (or 604715 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 806435350272 in words is "eight hundred six billion, four hundred thirty-five million, three hundred fifty thousand, two hundred seventy-two".