67746370006760 has 128 divisors (see below), whose sum is σ = 160378255065600. Its totient is φ = 25705831388160.

The previous prime is 67746370006723. The next prime is 67746370006793. The reversal of 67746370006760 is 6760007364776.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67746370006760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55764686 + ... + 56966594.

It is an arithmetic number, because the mean of its divisors is an integer number (1252955117700).

Almost surely, 2^{67746370006760} 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 67746370006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80189127532800).

67746370006760 is an abundant number, since it is smaller than the sum of its proper divisors (92631885058840).

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

67746370006760 is a wasteful number, since it uses less digits than its factorization.

67746370006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202451 (or 1202447 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 59.

The spelling of 67746370006760 in words is "sixty-seven trillion, seven hundred forty-six billion, three hundred seventy million, six thousand, seven hundred sixty".