212476946568480 has 432 divisors, whose sum is σ = 802264253499072. Its totient is φ = 51168433536000.

The previous prime is 212476946568473. The next prime is 212476946568487. The reversal of 212476946568480 is 84865649674212.

212476946568480 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 7 + 6 + 9 + 465 + 6 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (212476946568473) and next prime (212476946568487).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 212476946568399 and 212476946568408.

It is not an unprimeable number, because it can be changed into a prime (212476946568487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22272327 + ... + 30348153.

It is an arithmetic number, because the mean of its divisors is an integer number (1857093179396).

Almost surely, 2^{212476946568480} is an apocalyptic number.

212476946568480 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 212476946568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401132126749536).

212476946568480 is an abundant number, since it is smaller than the sum of its proper divisors (589787306930592).

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

212476946568480 is a wasteful number, since it uses less digits than its factorization.

212476946568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076021 (or 8075999 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 212476946568480 in words is "two hundred twelve trillion, four hundred seventy-six billion, nine hundred forty-six million, five hundred sixty-eight thousand, four hundred eighty".