67242751285320 has 1728 divisors, whose sum is σ = 264577736208240. Its totient is φ = 14781815193600.

The previous prime is 67242751285291. The next prime is 67242751285343. The reversal of 67242751285320 is 2358215724276.

67242751285320 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 27 + 512 + 85 + 3 + 20 = 666.

It can be written as a sum of positive squares in 72 ways, for example, as 64938809805444 + 2303941479876 = 8058462^2 + 1517874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 26673045660 + ... + 26673048180.

Almost surely, 2^{67242751285320} is an apocalyptic number.

67242751285320 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 67242751285320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132288868104120).

67242751285320 is an abundant number, since it is smaller than the sum of its proper divisors (197334984922920).

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

67242751285320 is a wasteful number, since it uses less digits than its factorization.

67242751285320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 67242751285320 in words is "sixty-seven trillion, two hundred forty-two billion, seven hundred fifty-one million, two hundred eighty-five thousand, three hundred twenty".