812643190560 has 576 divisors, whose sum is σ = 2956363038720. Its totient is φ = 202696058880.

The previous prime is 812643190531. The next prime is 812643190589. The reversal of 812643190560 is 65091346218.

812643190560 is a `hidden beast` number, since 8 + 12 + 64 + 3 + 19 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (812643190531) and next prime (812643190589).

It is a super-2 number, since 2×812643190560² (a number of 25 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 941648689 + ... + 941649551.

It is an arithmetic number, because the mean of its divisors is an integer number (5132574720).

Almost surely, 2^812643190560 is an apocalyptic number.

812643190560 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 812643190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478181519360).

812643190560 is an abundant number, since it is smaller than the sum of its proper divisors (2143719848160).

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

812643190560 is a wasteful number, since it uses less digits than its factorization.

812643190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 812643190560 in words is "eight hundred twelve billion, six hundred forty-three million, one hundred ninety thousand, five hundred sixty".