67106384401 has 27 divisors (see below), whose sum is σ = 81654866811. Its totient is φ = 54984704544.

The previous prime is 67106384333. The next prime is 67106384483. The reversal of 67106384401 is 10448360176.

The square root of 67106384401 is 259049.

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

It can be written as a sum of positive squares in only one way, i.e., 65613334801 + 1493049600 = 256151^2 + 38640^2 .

It is not a de Polignac number, because 67106384401 - 2⁹ = 67106383889 is a prime.

It is a super-2 number, since 2×67106384401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67106394401) 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, 41706085 + ... + 41707693.

Almost surely, 2^67106384401 is an apocalyptic number.

67106384401 is the 259049-th square number.

67106384401 is the 129525-th centered octagonal number.

It is an amenable number.

67106384401 is a deficient number, since it is larger than the sum of its proper divisors (14548482410).

67106384401 is an frugal number, since it uses more digits than its factorization.

67106384401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 67106384401 in words is "sixty-seven billion, one hundred six million, three hundred eighty-four thousand, four hundred one".