212079634560 has 512 divisors, whose sum is σ = 771860275200. Its totient is φ = 55014322176.

The previous prime is 212079634537. The next prime is 212079634561. The reversal of 212079634560 is 65436970212.

212079634560 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 7 + 9 + 634 + 5 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (212079634561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96092977 + ... + 96095183.

It is an arithmetic number, because the mean of its divisors is an integer number (1507539600).

Almost surely, 2^212079634560 is an apocalyptic number.

212079634560 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 212079634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385930137600).

212079634560 is an abundant number, since it is smaller than the sum of its proper divisors (559780640640).

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

212079634560 is a wasteful number, since it uses less digits than its factorization.

212079634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 212079634560 in words is "two hundred twelve billion, seventy-nine million, six hundred thirty-four thousand, five hundred sixty".