67768584976 has 45 divisors (see below), whose sum is σ = 132484325799. Its totient is φ = 33581796000.

The previous prime is 67768584959. The next prime is 67768584977. The reversal of 67768584976 is 67948586776.

The square root of 67768584976 is 260324.

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

It is a super-2 number, since 2×67768584976² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67768584899 and 67768584908.

It is not an unprimeable number, because it can be changed into a prime (67768584977) 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, 157235481 + ... + 157235911.

Almost surely, 2^67768584976 is an apocalyptic number.

67768584976 is the 260324-th square number.

It is an amenable number.

67768584976 is a deficient number, since it is larger than the sum of its proper divisors (64715740823).

67768584976 is an frugal number, since it uses more digits than its factorization.

67768584976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 584 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 73.

The spelling of 67768584976 in words is "sixty-seven billion, seven hundred sixty-eight million, five hundred eighty-four thousand, nine hundred seventy-six".