210672820334080 has 640 divisors, whose sum is σ = 575509070062080. Its totient is φ = 73404100116480.

The previous prime is 210672820334057. The next prime is 210672820334087. The reversal of 210672820334080 is 80433028276012.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 210672820334080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210672820334087) 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, 37241082612 + ... + 37241088268.

It is an arithmetic number, because the mean of its divisors is an integer number (899232921972).

Almost surely, 2^{210672820334080} is an apocalyptic number.

210672820334080 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 210672820334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287754535031040).

210672820334080 is an abundant number, since it is smaller than the sum of its proper divisors (364836249728000).

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

210672820334080 is a wasteful number, since it uses less digits than its factorization.

210672820334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 210672820334080 in words is "two hundred ten trillion, six hundred seventy-two billion, eight hundred twenty million, three hundred thirty-four thousand, eighty".