67064942961 has 9 divisors (see below), whose sum is σ = 96872706489. Its totient is φ = 44709444036.

The previous prime is 67064942911. The next prime is 67064942993. The reversal of 67064942961 is 16924946076.

It is a happy number.

The square root of 67064942961 is 258969.

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

67064942961 is a `hidden beast` number, since 6 + 70 + 6 + 494 + 29 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-67064942961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67064942898 and 67064942907.

It is not an unprimeable number, because it can be changed into a prime (67064942911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 733746 + ... + 820068.

Almost surely, 2^67064942961 is an apocalyptic number.

67064942961 is the 258969-th square number.

67064942961 is the 129485-th centered octagonal number.

It is an amenable number.

67064942961 is a deficient number, since it is larger than the sum of its proper divisors (29807763528).

67064942961 is an frugal number, since it uses more digits than its factorization.

67064942961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172652 (or 86326 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

It can be divided in two parts, 67064 and 942961, that added together give a square (1010025 = 1005²).

The spelling of 67064942961 in words is "sixty-seven billion, sixty-four million, nine hundred forty-two thousand, nine hundred sixty-one".