67480116329088 has 512 divisors, whose sum is σ = 217020708000000. Its totient is φ = 20560518365184.

The previous prime is 67480116329083. The next prime is 67480116329147. The reversal of 67480116329088 is 88092361108476.

67480116329088 is a `hidden beast` number, since 6 + 7 + 480 + 1 + 1 + 63 + 2 + 90 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (67480116329083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2949681106 + ... + 2949703982.

Almost surely, 2^{67480116329088} 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 67480116329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108510354000000).

67480116329088 is an abundant number, since it is smaller than the sum of its proper divisors (149540591670912).

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

67480116329088 is a wasteful number, since it uses less digits than its factorization.

67480116329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24497 (or 24479 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 67480116329088 in words is "sixty-seven trillion, four hundred eighty billion, one hundred sixteen million, three hundred twenty-nine thousand, eighty-eight".