806447534804352 has 640 divisors, whose sum is σ = 2831666015692800. Its totient is φ = 222952586158080.

The previous prime is 806447534804311. The next prime is 806447534804357. The reversal of 806447534804352 is 253408435744608.

806447534804352 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 4 + 7 + 534 + 8 + 0 + 43 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 806447534804352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806447534804357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22811272308 + ... + 22811307660.

It is an arithmetic number, because the mean of its divisors is an integer number (4424478149520).

Almost surely, 2^{806447534804352} 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 806447534804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415833007846400).

806447534804352 is an abundant number, since it is smaller than the sum of its proper divisors (2025218480888448).

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

806447534804352 is a wasteful number, since it uses less digits than its factorization.

806447534804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45556 (or 45535 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 63.

The spelling of 806447534804352 in words is "eight hundred six trillion, four hundred forty-seven billion, five hundred thirty-four million, eight hundred four thousand, three hundred fifty-two".