67007740106772 has 36 divisors (see below), whose sum is σ = 169381351309716. Its totient is φ = 22335824367360.

The previous prime is 67007740106771. The next prime is 67007740106851. The reversal of 67007740106772 is 27760104770076.

It is a happy number.

67007740106772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37411376522256 + 29596363584516 = 6116484^2 + 5440254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67007740106771) 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 11 ways as a sum of consecutive naturals, for example, 5784558 + ... + 12941274.

It is an arithmetic number, because the mean of its divisors is an integer number (4705037536381).

Almost surely, 2^{67007740106772} is an apocalyptic number.

It is an amenable number.

67007740106772 is an abundant number, since it is smaller than the sum of its proper divisors (102373611202944).

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

67007740106772 is a wasteful number, since it uses less digits than its factorization.

67007740106772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416808 (or 7416803 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 67007740106772 in words is "sixty-seven trillion, seven billion, seven hundred forty million, one hundred six thousand, seven hundred seventy-two".