67900372929 has 27 divisors (see below), whose sum is σ = 101877053187. Its totient is φ = 45252844128.

The previous prime is 67900372907. The next prime is 67900372931. The reversal of 67900372929 is 92927300976.

The square root of 67900372929 is 260577.

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., 61233977025 + 6666395904 = 247455^2 + 81648^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 67900372929 - 2⁹ = 67900372417 is a prime.

It is a super-2 number, since 2×67900372929² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67900372999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21105129 + ... + 21108345.

Almost surely, 2^67900372929 is an apocalyptic number.

67900372929 is the 260577-th square number.

67900372929 is the 130289-th centered octagonal number.

It is an amenable number.

67900372929 is a deficient number, since it is larger than the sum of its proper divisors (33976680258).

67900372929 is an frugal number, since it uses more digits than its factorization.

67900372929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 67900372929 in words is "sixty-seven billion, nine hundred million, three hundred seventy-two thousand, nine hundred twenty-nine".