67928633682976 has 48 divisors (see below), whose sum is σ = 147396222318240. Its totient is φ = 30558335662080.

The previous prime is 67928633682953. The next prime is 67928633682977.

67928633682976 is nontrivially palindromic in base 10.

67928633682976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67928633682976² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67928633682976.

It is not an unprimeable number, because it can be changed into a prime (67928633682977) 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 7 ways as a sum of consecutive naturals, for example, 994703346 + ... + 994771633.

It is an arithmetic number, because the mean of its divisors is an integer number (3070754631630).

Almost surely, 2^{67928633682976} is an apocalyptic number.

It is an amenable number.

67928633682976 is an abundant number, since it is smaller than the sum of its proper divisors (79467588635264).

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

67928633682976 is a wasteful number, since it uses less digits than its factorization.

67928633682976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989475097 (or 1989475089 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 82.

The spelling of 67928633682976 in words is "sixty-seven trillion, nine hundred twenty-eight billion, six hundred thirty-three million, six hundred eighty-two thousand, nine hundred seventy-six".