812646742835200 has 2160 divisors, whose sum is σ = 2620919192102400. Its totient is φ = 248355304243200.

The previous prime is 812646742835177. The next prime is 812646742835201. The reversal of 812646742835200 is 2538247646218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812646742835201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1755176550169 + ... + 1755176550631.

Almost surely, 2^{812646742835200} is an apocalyptic number.

812646742835200 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 812646742835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310459596051200).

812646742835200 is an abundant number, since it is smaller than the sum of its proper divisors (1808272449267200).

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

812646742835200 is an equidigital number, since it uses as much as digits as its factorization.

812646742835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 812646742835200 in words is "eight hundred twelve trillion, six hundred forty-six billion, seven hundred forty-two million, eight hundred thirty-five thousand, two hundred".