67948257312 has 144 divisors (see below), whose sum is σ = 208190225880. Its totient is φ = 20897243136.

The previous prime is 67948257281. The next prime is 67948257313. The reversal of 67948257312 is 21375284976.

It is a happy number.

67948257312 is a `hidden beast` number, since 6 + 79 + 4 + 8 + 257 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53510792976 + 14437464336 = 231324^2 + 120156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×67948257312² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67948257313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13839114 + ... + 13844022.

Almost surely, 2^67948257312 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 67948257312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104095112940).

67948257312 is an abundant number, since it is smaller than the sum of its proper divisors (140241968568).

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

67948257312 is a wasteful number, since it uses less digits than its factorization.

67948257312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8624 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 67948257312 in words is "sixty-seven billion, nine hundred forty-eight million, two hundred fifty-seven thousand, three hundred twelve".