67681957455 has 128 divisors (see below), whose sum is σ = 145744220160. Its totient is φ = 29091778560.

The previous prime is 67681957433. The next prime is 67681957457. The reversal of 67681957455 is 55475918676.

67681957455 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 1 + 9 + 574 + 55 = 666.

It is not a de Polignac number, because 67681957455 - 2⁶ = 67681957391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 67681957392 and 67681957401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67681957457) 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 127 ways as a sum of consecutive naturals, for example, 29670915 + ... + 29673195.

It is an arithmetic number, because the mean of its divisors is an integer number (1138626720).

Almost surely, 2^67681957455 is an apocalyptic number.

67681957455 is an abundant number, since it is smaller than the sum of its proper divisors (78062262705).

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

67681957455 is a wasteful number, since it uses less digits than its factorization.

67681957455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4160 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 67681957455 in words is "sixty-seven billion, six hundred eighty-one million, nine hundred fifty-seven thousand, four hundred fifty-five".