212724766080 has 768 divisors, whose sum is σ = 806868388800. Its totient is φ = 53613342720.

The previous prime is 212724766057. The next prime is 212724766081. The reversal of 212724766080 is 80667427212.

It is a happy number.

212724766080 is a `hidden beast` number, since 2 + 12 + 7 + 24 + 7 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×212724766080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212724766081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505284270 + ... + 505284690.

Almost surely, 2^212724766080 is an apocalyptic number.

212724766080 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 212724766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403434194400).

212724766080 is an abundant number, since it is smaller than the sum of its proper divisors (594143622720).

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

212724766080 is an frugal number, since it uses more digits than its factorization.

212724766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 212724766080 in words is "two hundred twelve billion, seven hundred twenty-four million, seven hundred sixty-six thousand, eighty".