67966704261 has 64 divisors (see below), whose sum is σ = 106951772160. Its totient is φ = 42583242240.

The previous prime is 67966704233. The next prime is 67966704271. The reversal of 67966704261 is 16240766976.

67966704261 is a `hidden beast` number, since 67 + 96 + 6 + 70 + 426 + 1 = 666.

67966704261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67966704261 - 2²⁶ = 67899595397 is a prime.

It is a super-2 number, since 2×67966704261² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67966704198 and 67966704207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67966704271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19106095 + ... + 19109651.

It is an arithmetic number, because the mean of its divisors is an integer number (1671121440).

Almost surely, 2^67966704261 is an apocalyptic number.

It is an amenable number.

67966704261 is a deficient number, since it is larger than the sum of its proper divisors (38985067899).

67966704261 is a wasteful number, since it uses less digits than its factorization.

67966704261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 67966704261 in words is "sixty-seven billion, nine hundred sixty-six million, seven hundred four thousand, two hundred sixty-one".