212477683680 has 288 divisors, whose sum is σ = 784631038464. Its totient is φ = 54196978176.

The previous prime is 212477683667. The next prime is 212477683687. The reversal of 212477683680 is 86386774212.

212477683680 is a `hidden beast` number, since 2 + 1 + 2 + 477 + 68 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212477683687) 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 47 ways as a sum of consecutive naturals, for example, 775437 + ... + 1013043.

It is an arithmetic number, because the mean of its divisors is an integer number (2724413328).

Almost surely, 2^212477683680 is an apocalyptic number.

212477683680 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 212477683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392315519232).

212477683680 is an abundant number, since it is smaller than the sum of its proper divisors (572153354784).

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

212477683680 is a wasteful number, since it uses less digits than its factorization.

212477683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237660 (or 237640 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 212477683680 in words is "two hundred twelve billion, four hundred seventy-seven million, six hundred eighty-three thousand, six hundred eighty".