212675629824 has 216 divisors, whose sum is σ = 715100349600. Its totient is φ = 60764239872.

The previous prime is 212675629823. The next prime is 212675629853. The reversal of 212675629824 is 428926576212.

212675629824 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 7 + 5 + 629 + 8 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (212675629823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655714 + ... + 924830.

Almost surely, 2^212675629824 is an apocalyptic number.

212675629824 is a gapful number since it is divisible by the number (24) 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 212675629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357550174800).

212675629824 is an abundant number, since it is smaller than the sum of its proper divisors (502424719776).

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

212675629824 is an equidigital number, since it uses as much as digits as its factorization.

212675629824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269160 (or 269129 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 212675629824 in words is "two hundred twelve billion, six hundred seventy-five million, six hundred twenty-nine thousand, eight hundred twenty-four".