67989909012480 has 3168 divisors, whose sum is σ = 315005577069600. Its totient is φ = 13850464223232.

The previous prime is 67989909012463. The next prime is 67989909012511. The reversal of 67989909012480 is 8421090998976.

67989909012480 is a `hidden beast` number, since 67 + 9 + 89 + 9 + 0 + 9 + 0 + 1 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 67989909012399 and 67989909012408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2344479621106 + ... + 2344479621134.

Almost surely, 2^{67989909012480} is an apocalyptic number.

67989909012480 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 67989909012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157502788534800).

67989909012480 is an abundant number, since it is smaller than the sum of its proper divisors (247015668057120).

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

67989909012480 is an frugal number, since it uses more digits than its factorization.

67989909012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 67989909012480 in words is "sixty-seven trillion, nine hundred eighty-nine billion, nine hundred nine million, twelve thousand, four hundred eighty".