67128882957 has 48 divisors (see below), whose sum is σ = 108117884160. Its totient is φ = 39886027776.

The previous prime is 67128882949. The next prime is 67128882973. The reversal of 67128882957 is 75928882176.

67128882957 is a `hidden beast` number, since 67 + 1 + 288 + 8 + 295 + 7 = 666.

It is not a de Polignac number, because 67128882957 - 2³ = 67128882949 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67128882894 and 67128882903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67128882917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10674268 + ... + 10680554.

It is an arithmetic number, because the mean of its divisors is an integer number (2252455920).

Almost surely, 2^67128882957 is an apocalyptic number.

It is an amenable number.

67128882957 is a deficient number, since it is larger than the sum of its proper divisors (40989001203).

67128882957 is a wasteful number, since it uses less digits than its factorization.

67128882957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9999 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 67128882957 in words is "sixty-seven billion, one hundred twenty-eight million, eight hundred eighty-two thousand, nine hundred fifty-seven".