67918124816 has 40 divisors (see below), whose sum is σ = 136295573400. Its totient is φ = 32747939840.

The previous prime is 67918124777. The next prime is 67918124819. The reversal of 67918124816 is 61842181976.

It can be written as a sum of positive squares in 4 ways, for example, as 476112400 + 67442012416 = 21820^2 + 259696^2 .

It is a super-2 number, since 2×67918124816² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67918124819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291800 + ... + 470088.

It is an arithmetic number, because the mean of its divisors is an integer number (3407389335).

Almost surely, 2^67918124816 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 67918124816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68147786700).

67918124816 is an abundant number, since it is smaller than the sum of its proper divisors (68377448584).

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

67918124816 is a wasteful number, since it uses less digits than its factorization.

67918124816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179147 (or 179141 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The spelling of 67918124816 in words is "sixty-seven billion, nine hundred eighteen million, one hundred twenty-four thousand, eight hundred sixteen".