806827985964 has 864 divisors, whose sum is σ = 2828407196160. Its totient is φ = 188659722240.

The previous prime is 806827985939. The next prime is 806827985989. The reversal of 806827985964 is 469589728608.

806827985964 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 27 + 9 + 8 + 596 + 4 = 666.

806827985964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806827985939) and next prime (806827985989).

It is a junction number, because it is equal to n+sod(n) for n = 806827985892 and 806827985901.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4507418827 + ... + 4507419005.

It is an arithmetic number, because the mean of its divisors is an integer number (3273619440).

Almost surely, 2^806827985964 is an apocalyptic number.

806827985964 is a gapful number since it is divisible by the number (84) 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 806827985964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414203598080).

806827985964 is an abundant number, since it is smaller than the sum of its proper divisors (2021579210196).

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

806827985964 is a wasteful number, since it uses less digits than its factorization.

806827985964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 806827985964 in words is "eight hundred six billion, eight hundred twenty-seven million, nine hundred eighty-five thousand, nine hundred sixty-four".