67718017920 has 256 divisors, whose sum is σ = 247377254400. Its totient is φ = 15435104256.

The previous prime is 67718017897. The next prime is 67718017931. The reversal of 67718017920 is 2971081776.

67718017920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67718017920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67718017920.

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, 4925616 + ... + 4939344.

It is an arithmetic number, because the mean of its divisors is an integer number (966317400).

Almost surely, 2^67718017920 is an apocalyptic number.

67718017920 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 67718017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123688627200).

67718017920 is an abundant number, since it is smaller than the sum of its proper divisors (179659236480).

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

67718017920 is a wasteful number, since it uses less digits than its factorization.

67718017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14125 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The spelling of 67718017920 in words is "sixty-seven billion, seven hundred eighteen million, seventeen thousand, nine hundred twenty".