67407406733328 has 160 divisors (see below), whose sum is σ = 180606290457600. Its totient is φ = 21638261568000.

The previous prime is 67407406733321. The next prime is 67407406733369. The reversal of 67407406733328 is 82333760470476.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67407406733321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4345773093 + ... + 4345788603.

It is an arithmetic number, because the mean of its divisors is an integer number (1128789315360).

Almost surely, 2^{67407406733328} 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 67407406733328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90303145228800).

67407406733328 is an abundant number, since it is smaller than the sum of its proper divisors (113198883724272).

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

67407406733328 is a wasteful number, since it uses less digits than its factorization.

67407406733328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23421 (or 23415 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 60.

The spelling of 67407406733328 in words is "sixty-seven trillion, four hundred seven billion, four hundred six million, seven hundred thirty-three thousand, three hundred twenty-eight".