67706165442048 has 320 divisors, whose sum is σ = 206710663813632. Its totient is φ = 19291234959360.

The previous prime is 67706165442011. The next prime is 67706165442049. The reversal of 67706165442048 is 84024456160776.

It is a junction number, because it is equal to n+sod(n) for n = 67706165441982 and 67706165442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67706165442049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7691256015 + ... + 7691264817.

Almost surely, 2^{67706165442048} 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 67706165442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103355331906816).

67706165442048 is an abundant number, since it is smaller than the sum of its proper divisors (139004498371584).

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

67706165442048 is a wasteful number, since it uses less digits than its factorization.

67706165442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 67706165442048 in words is "sixty-seven trillion, seven hundred six billion, one hundred sixty-five million, four hundred forty-two thousand, forty-eight".