212605676640 has 504 divisors, whose sum is σ = 876051741600. Its totient is φ = 48594276864.

The previous prime is 212605676611. The next prime is 212605676659. The reversal of 212605676640 is 46676506212.

212605676640 is a `hidden beast` number, since 2 + 1 + 26 + 0 + 567 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 83 ways as a sum of consecutive naturals, for example, 5696761 + ... + 5733959.

It is an arithmetic number, because the mean of its divisors is an integer number (1738197900).

Almost surely, 2^212605676640 is an apocalyptic number.

212605676640 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 212605676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438025870800).

212605676640 is an abundant number, since it is smaller than the sum of its proper divisors (663446064960).

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

212605676640 is an equidigital number, since it uses as much as digits as its factorization.

212605676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37246 (or 37216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 212605676640 in words is "two hundred twelve billion, six hundred five million, six hundred seventy-six thousand, six hundred forty".