212476843652640 has 3072 divisors, whose sum is σ = 879446937600000. Its totient is φ = 42888023506944.

The previous prime is 212476843652627. The next prime is 212476843652683. The reversal of 212476843652640 is 46256348674212.

212476843652640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 484001921541 + ... + 484001921979.

It is an arithmetic number, because the mean of its divisors is an integer number (286278300000).

Almost surely, 2^{212476843652640} is an apocalyptic number.

212476843652640 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 212476843652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439723468800000).

212476843652640 is an abundant number, since it is smaller than the sum of its proper divisors (666970093947360).

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

212476843652640 is a wasteful number, since it uses less digits than its factorization.

212476843652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 212476843652640 in words is "two hundred twelve trillion, four hundred seventy-six billion, eight hundred forty-three million, six hundred fifty-two thousand, six hundred forty".