67679595648 has 192 divisors, whose sum is σ = 226227693120. Its totient is φ = 19019888640.

The previous prime is 67679595623. The next prime is 67679595661. The reversal of 67679595648 is 84659597676.

67679595648 is a `hidden beast` number, since 6 + 7 + 6 + 7 + 9 + 59 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423111 + ... + 560697.

It is an arithmetic number, because the mean of its divisors is an integer number (1178269235).

Almost surely, 2^67679595648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67679595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113113846560).

67679595648 is an abundant number, since it is smaller than the sum of its proper divisors (158548097472).

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

67679595648 is a wasteful number, since it uses less digits than its factorization.

67679595648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137675 (or 137660 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 67679595648 in words is "sixty-seven billion, six hundred seventy-nine million, five hundred ninety-five thousand, six hundred forty-eight".