812807636256 has 1008 divisors, whose sum is σ = 3074659015680. Its totient is φ = 209045007360.

The previous prime is 812807636233. The next prime is 812807636321. The reversal of 812807636256 is 652636708218.

812807636256 is a `hidden beast` number, since 8 + 1 + 2 + 8 + 0 + 7 + 6 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1596871330 + ... + 1596871838.

It is an arithmetic number, because the mean of its divisors is an integer number (3050256960).

Almost surely, 2^812807636256 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 812807636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537329507840).

812807636256 is an abundant number, since it is smaller than the sum of its proper divisors (2261851379424).

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

812807636256 is a wasteful number, since it uses less digits than its factorization.

812807636256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 812807636256 in words is "eight hundred twelve billion, eight hundred seven million, six hundred thirty-six thousand, two hundred fifty-six".