67981824480 has 192 divisors, whose sum is σ = 226444087296. Its totient is φ = 17115648000.

The previous prime is 67981824451. The next prime is 67981824517. The reversal of 67981824480 is 8442818976.

It is a self number, because there is not a number n which added to its sum of digits gives 67981824480.

It is a congruent number.

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, 554365 + ... + 665795.

It is an arithmetic number, because the mean of its divisors is an integer number (1179396288).

Almost surely, 2^67981824480 is an apocalyptic number.

67981824480 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 67981824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113222043648).

67981824480 is an abundant number, since it is smaller than the sum of its proper divisors (158462262816).

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

67981824480 is a wasteful number, since it uses less digits than its factorization.

67981824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111521 (or 111513 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 67981824480 in words is "sixty-seven billion, nine hundred eighty-one million, eight hundred twenty-four thousand, four hundred eighty".