67116531840 has 256 divisors, whose sum is σ = 229274392320. Its totient is φ = 16656482304.

The previous prime is 67116531829. The next prime is 67116531917. The reversal of 67116531840 is 4813561176.

It is a junction number, because it is equal to n+sod(n) for n = 67116531792 and 67116531801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613382 + ... + 1654458.

It is an arithmetic number, because the mean of its divisors is an integer number (895603095).

Almost surely, 2^67116531840 is an apocalyptic number.

67116531840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67116531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114637196160).

67116531840 is an abundant number, since it is smaller than the sum of its proper divisors (162157860480).

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

67116531840 is a wasteful number, since it uses less digits than its factorization.

67116531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41159 (or 41147 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 67116531840 in words is "sixty-seven billion, one hundred sixteen million, five hundred thirty-one thousand, eight hundred forty".