67701678978609 has 45 divisors (see below), whose sum is σ = 105946833166343. Its totient is φ = 41660004511008.

The previous prime is 67701678978599. The next prime is 67701678978611. The reversal of 67701678978609 is 90687987610776.

The square root of 67701678978609 is 8228103.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 44046490383009 + 23655188595600 = 6636753^2 + 4863660^2 .

It is not a de Polignac number, because 67701678978609 - 2³⁷ = 67564240025137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67701678978629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4171640107 + ... + 4171656335.

Almost surely, 2^{67701678978609} is an apocalyptic number.

67701678978609 is the 8228103-rd square number.

67701678978609 is the 4114052-nd centered octagonal number.

It is an amenable number.

67701678978609 is a deficient number, since it is larger than the sum of its proper divisors (38245154187734).

67701678978609 is an frugal number, since it uses more digits than its factorization.

67701678978609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32516 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 2688505344, while the sum is 81.

It can be divided in two parts, 677016 and 78978609, that added together give a square (79655625 = 8925²).

The spelling of 67701678978609 in words is "sixty-seven trillion, seven hundred one billion, six hundred seventy-eight million, nine hundred seventy-eight thousand, six hundred nine".