67672785221088 has 768 divisors, whose sum is σ = 202099560284160. Its totient is φ = 19735823923200.

The previous prime is 67672785221033. The next prime is 67672785221089. The reversal of 67672785221088 is 88012258727676.

67672785221088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67672785221089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20688712893 + ... + 20688716163.

It is an arithmetic number, because the mean of its divisors is an integer number (263150469120).

Almost surely, 2^{67672785221088} 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 67672785221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101049780142080).

67672785221088 is an abundant number, since it is smaller than the sum of its proper divisors (134426775063072).

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

67672785221088 is a wasteful number, since it uses less digits than its factorization.

67672785221088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 69.

The spelling of 67672785221088 in words is "sixty-seven trillion, six hundred seventy-two billion, seven hundred eighty-five million, two hundred twenty-one thousand, eighty-eight".