67191621120 has 1280 divisors, whose sum is σ = 275862343680. Its totient is φ = 15383789568.

The previous prime is 67191621089. The next prime is 67191621121. The reversal of 67191621120 is 2112619176.

67191621120 is a `hidden beast` number, since 6 + 7 + 1 + 9 + 1 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67191621121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1429608937 + ... + 1429608983.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 2^67191621120 is an apocalyptic number.

67191621120 is a gapful number since it is divisible by the number (60) 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 67191621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137931171840).

67191621120 is an abundant number, since it is smaller than the sum of its proper divisors (208670722560).

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

67191621120 is a wasteful number, since it uses less digits than its factorization.

67191621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 67191621120 in words is "sixty-seven billion, one hundred ninety-one million, six hundred twenty-one thousand, one hundred twenty".