67144400974080 has 432 divisors, whose sum is σ = 246818686448880. Its totient is φ = 16820514127872.

The previous prime is 67144400974019. The next prime is 67144400974097. The reversal of 67144400974080 is 8047900444176.

67144400974080 is a `hidden beast` number, since 6 + 7 + 144 + 4 + 0 + 0 + 97 + 408 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10535269572864 + 56609131401216 = 3245808^2 + 7523904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9644974 + ... + 15076946.

It is an arithmetic number, because the mean of its divisors is an integer number (571339551965).

Almost surely, 2^{67144400974080} is an apocalyptic number.

67144400974080 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 67144400974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123409343224440).

67144400974080 is an abundant number, since it is smaller than the sum of its proper divisors (179674285474800).

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

67144400974080 is a wasteful number, since it uses less digits than its factorization.

67144400974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432066 (or 5432049 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 67144400974080 in words is "sixty-seven trillion, one hundred forty-four billion, four hundred million, nine hundred seventy-four thousand, eighty".