212842363567680 has 4032 divisors, whose sum is σ = 976004879356416. Its totient is φ = 41622228172800.

The previous prime is 212842363567679. The next prime is 212842363567789. The reversal of 212842363567680 is 86765363248212.

212842363567680 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 4 + 2 + 3 + 6 + 3 + 567 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 368877579552 + ... + 368877580128.

Almost surely, 2^{212842363567680} is an apocalyptic number.

212842363567680 is a gapful number since it is divisible by the number (20) 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 212842363567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488002439678208).

212842363567680 is an abundant number, since it is smaller than the sum of its proper divisors (763162515788736).

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

212842363567680 is a wasteful number, since it uses less digits than its factorization.

212842363567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 212842363567680 in words is "two hundred twelve trillion, eight hundred forty-two billion, three hundred sixty-three million, five hundred sixty-seven thousand, six hundred eighty".