67776657744964 has 81 divisors (see below), whose sum is σ = 146571678439389. Its totient is φ = 27337693461120.

The previous prime is 67776657744959. The next prime is 67776657745019. The reversal of 67776657744964 is 46944775667776.

The square root of 67776657744964 is 8232658.

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., 52767294092100 + 15009363652864 = 7264110^2 + 3874192^2 .

It is a super-2 number, since 2×67776657744964² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1959355309 + ... + 1959389899.

Almost surely, 2^{67776657744964} is an apocalyptic number.

67776657744964 is the 8232658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67776657744964

67776657744964 is an abundant number, since it is smaller than the sum of its proper divisors (78795020694425).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67776657744964 is an frugal number, since it uses more digits than its factorization.

67776657744964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69234 (or 34617 counting only the distinct ones).

The product of its digits is 62731791360, while the sum is 85.

The spelling of 67776657744964 in words is "sixty-seven trillion, seven hundred seventy-six billion, six hundred fifty-seven million, seven hundred forty-four thousand, nine hundred sixty-four".