67114071040 has 88 divisors (see below), whose sum is σ = 161125347240. Its totient is φ = 26823917568.

The previous prime is 67114071029. The next prime is 67114071041. The reversal of 67114071040 is 4017041176.

It can be written as a sum of positive squares in 4 ways, for example, as 4141179904 + 62972891136 = 64352^2 + 250944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67114070993 and 67114071011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67114071041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7311894 + ... + 7321066.

It is an arithmetic number, because the mean of its divisors is an integer number (1830969855).

Almost surely, 2^67114071040 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 67114071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80562673620).

67114071040 is an abundant number, since it is smaller than the sum of its proper divisors (94011276200).

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

67114071040 is a wasteful number, since it uses less digits than its factorization.

67114071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 67114071040 in words is "sixty-seven billion, one hundred fourteen million, seventy-one thousand, forty".