67585960729 has 9 divisors (see below), whose sum is σ = 78622520277. Its totient is φ = 57929263644.

The previous prime is 67585960723. The next prime is 67585960763. The reversal of 67585960729 is 92706958576.

The square root of 67585960729 is 259973.

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

It is not a de Polignac number, because 67585960729 - 2⁵ = 67585960697 is a prime.

It is a super-2 number, since 2×67585960729² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67585960723) 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, 1801242 + ... + 1838380.

Almost surely, 2^67585960729 is an apocalyptic number.

67585960729 is the 259973-rd square number.

67585960729 is the 129987-th centered octagonal number.

It is an amenable number.

67585960729 is a deficient number, since it is larger than the sum of its proper divisors (11036559548).

67585960729 is an frugal number, since it uses more digits than its factorization.

67585960729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74292 (or 37146 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

Multiplying 67585960729 by its sum of digits (64), we get a square (4325501486656 = 2079784²).

The spelling of 67585960729 in words is "sixty-seven billion, five hundred eighty-five million, nine hundred sixty thousand, seven hundred twenty-nine".