812612618856720 has 320 divisors, whose sum is σ = 3054762495187200. Its totient is φ = 196912545730560.

The previous prime is 812612618856697. The next prime is 812612618856733. The reversal of 812612618856720 is 27658816216218.

812612618856720 is a `hidden beast` number, since 8 + 1 + 2 + 6 + 1 + 2 + 61 + 8 + 8 + 567 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48102276 + ... + 62761884.

It is an arithmetic number, because the mean of its divisors is an integer number (9546132797460).

Almost surely, 2^{812612618856720} is an apocalyptic number.

812612618856720 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 812612618856720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527381247593600).

812612618856720 is an abundant number, since it is smaller than the sum of its proper divisors (2242149876330480).

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

812612618856720 is a wasteful number, since it uses less digits than its factorization.

812612618856720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14661975 (or 14661963 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 812612618856720 in words is "eight hundred twelve trillion, six hundred twelve billion, six hundred eighteen million, eight hundred fifty-six thousand, seven hundred twenty".