212336743680 has 432 divisors, whose sum is σ = 768985176960. Its totient is φ = 56094695424.

The previous prime is 212336743637. The next prime is 212336743709. The reversal of 212336743680 is 86347633212.

212336743680 is a `hidden beast` number, since 212 + 3 + 3 + 6 + 74 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33900229 + ... + 33906491.

It is an arithmetic number, because the mean of its divisors is an integer number (1780058280).

Almost surely, 2^212336743680 is an apocalyptic number.

212336743680 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 212336743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384492588480).

212336743680 is an abundant number, since it is smaller than the sum of its proper divisors (556648433280).

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

212336743680 is an equidigital number, since it uses as much as digits as its factorization.

212336743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 212336743680 in words is "two hundred twelve billion, three hundred thirty-six million, seven hundred forty-three thousand, six hundred eighty".