67953541041 has 27 divisors (see below), whose sum is σ = 101459744217. Its totient is φ = 43825353480.

The previous prime is 67953541031. The next prime is 67953541049. The reversal of 67953541041 is 14014535976.

The square root of 67953541041 is 260679.

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

67953541041 is a `hidden beast` number, since 6 + 7 + 9 + 535 + 4 + 104 + 1 = 666.

It is not a de Polignac number, because 67953541041 - 2⁷ = 67953540913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67953541049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24241746 + ... + 24244548.

Almost surely, 2^67953541041 is an apocalyptic number.

67953541041 is the 260679-th square number.

67953541041 is the 130340-th centered octagonal number.

It is an amenable number.

67953541041 is a deficient number, since it is larger than the sum of its proper divisors (33506203176).

67953541041 is an frugal number, since it uses more digits than its factorization.

67953541041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 67953541041 in words is "sixty-seven billion, nine hundred fifty-three million, five hundred forty-one thousand, forty-one".