212676464000 has 1024 divisors, whose sum is σ = 727114752000. Its totient is φ = 60963840000.

The previous prime is 212676463991. The next prime is 212676464051. The reversal of 212676464000 is 464676212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 784783865 + ... + 784784135.

It is an arithmetic number, because the mean of its divisors is an integer number (710073000).

Almost surely, 2^212676464000 is an apocalyptic number.

212676464000 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 212676464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363557376000).

212676464000 is an abundant number, since it is smaller than the sum of its proper divisors (514438288000).

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

212676464000 is a wasteful number, since it uses less digits than its factorization.

212676464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

It can be divided in two parts, 212676 and 464000, that added together give a palindrome (676676).

The spelling of 212676464000 in words is "two hundred twelve billion, six hundred seventy-six million, four hundred sixty-four thousand".