67317459040 has 288 divisors, whose sum is σ = 182309460480. Its totient is φ = 23413598208.

The previous prime is 67317458977. The next prime is 67317459107. The reversal of 67317459040 is 4095471376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145393849 + ... + 145394311.

It is an arithmetic number, because the mean of its divisors is an integer number (633018960).

Almost surely, 2^67317459040 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 67317459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91154730240).

67317459040 is an abundant number, since it is smaller than the sum of its proper divisors (114992001440).

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

67317459040 is a wasteful number, since it uses less digits than its factorization.

67317459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 67317459040 in words is "sixty-seven billion, three hundred seventeen million, four hundred fifty-nine thousand, forty".