67138464847608 has 3456 divisors, whose sum is σ = 271798136064000. Its totient is φ = 14806897459200.

The previous prime is 67138464847583. The next prime is 67138464847613. The reversal of 67138464847608 is 80674846483176.

67138464847608 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 8 + 4 + 6 + 4 + 8 + 4 + 7 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 483010538403 + ... + 483010538541.

It is an arithmetic number, because the mean of its divisors is an integer number (78645294000).

Almost surely, 2^{67138464847608} is an apocalyptic number.

67138464847608 is a gapful number since it is divisible by the number (68) 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 67138464847608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135899068032000).

67138464847608 is an abundant number, since it is smaller than the sum of its proper divisors (204659671216392).

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

67138464847608 is a wasteful number, since it uses less digits than its factorization.

67138464847608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 67138464847608 in words is "sixty-seven trillion, one hundred thirty-eight billion, four hundred sixty-four million, eight hundred forty-seven thousand, six hundred eight".