67679583409 has 9 divisors (see below), whose sum is σ = 70756368249. Its totient is φ = 64731269460.

The previous prime is 67679583407. The next prime is 67679583421. The reversal of 67679583409 is 90438597676.

It is a happy number.

The square root of 67679583409 is 260153.

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

It is not a de Polignac number, because 67679583409 - 2¹ = 67679583407 is a prime.

It is a super-2 number, since 2×67679583409² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67679583407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5977864 + ... + 5989174.

Almost surely, 2^67679583409 is an apocalyptic number.

67679583409 is the 260153-rd square number.

67679583409 is the 130077-th centered octagonal number.

It is an amenable number.

67679583409 is a deficient number, since it is larger than the sum of its proper divisors (3076784840).

67679583409 is an frugal number, since it uses more digits than its factorization.

67679583409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22668 (or 11334 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 67679583409 by its sum of digits (64), we get a square (4331493338176 = 2081224²).

The spelling of 67679583409 in words is "sixty-seven billion, six hundred seventy-nine million, five hundred eighty-three thousand, four hundred nine".