67642136265440 has 192 divisors, whose sum is σ = 176128331698368. Its totient is φ = 24343916544000.

The previous prime is 67642136265409. The next prime is 67642136265511. The reversal of 67642136265440 is 4456263124676.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 454457912 + ... + 454606728.

It is an arithmetic number, because the mean of its divisors is an integer number (917335060929).

Almost surely, 2^{67642136265440} 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 67642136265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88064165849184).

67642136265440 is an abundant number, since it is smaller than the sum of its proper divisors (108486195432928).

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

67642136265440 is a wasteful number, since it uses less digits than its factorization.

67642136265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151501 (or 151493 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 56.

The spelling of 67642136265440 in words is "sixty-seven trillion, six hundred forty-two billion, one hundred thirty-six million, two hundred sixty-five thousand, four hundred forty".