67082601200 has 120 divisors (see below), whose sum is σ = 162563144400. Its totient is φ = 26601164800.

The previous prime is 67082601197. The next prime is 67082601203. The reversal of 67082601200 is 210628076.

It is an interprime number because it is at equal distance from previous prime (67082601197) and next prime (67082601203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67082601203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49288520 + ... + 49289880.

It is an arithmetic number, because the mean of its divisors is an integer number (1354692870).

Almost surely, 2^67082601200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67082601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81281572200).

67082601200 is an abundant number, since it is smaller than the sum of its proper divisors (95480543200).

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

67082601200 is a wasteful number, since it uses less digits than its factorization.

67082601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 67082601200 in words is "sixty-seven billion, eighty-two million, six hundred one thousand, two hundred".