67007770077336 has 256 divisors, whose sum is σ = 187065455616000. Its totient is φ = 19827752209920.

The previous prime is 67007770077317. The next prime is 67007770077397. The reversal of 67007770077336 is 63377007770076.

67007770077336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 67007770077336.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20560836075 + ... + 20560839333.

It is an arithmetic number, because the mean of its divisors is an integer number (730724436000).

Almost surely, 2^{67007770077336} is an apocalyptic number.

67007770077336 is a gapful number since it is divisible by the number (66) 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 67007770077336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93532727808000).

67007770077336 is an abundant number, since it is smaller than the sum of its proper divisors (120057685538664).

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

67007770077336 is a wasteful number, since it uses less digits than its factorization.

67007770077336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 38118276, while the sum is 60.

The spelling of 67007770077336 in words is "sixty-seven trillion, seven billion, seven hundred seventy million, seventy-seven thousand, three hundred thirty-six".