67225316013504 has 336 divisors, whose sum is σ = 210588325584000. Its totient is φ = 20334329579520.

The previous prime is 67225316013491. The next prime is 67225316013521. The reversal of 67225316013504 is 40531061352276.

67225316013504 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 5 + 3 + 1 + 601 + 35 + 0 + 4 = 666.

It is a super-2 number, since 2×67225316013504² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67225316013504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17447523642 + ... + 17447527494.

It is an arithmetic number, because the mean of its divisors is an integer number (626750969000).

Almost surely, 2^{67225316013504} is an apocalyptic number.

67225316013504 is a gapful number since it is divisible by the number (64) 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 67225316013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105294162792000).

67225316013504 is an abundant number, since it is smaller than the sum of its proper divisors (143363009570496).

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

67225316013504 is a wasteful number, since it uses less digits than its factorization.

67225316013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 67225316013504 in words is "sixty-seven trillion, two hundred twenty-five billion, three hundred sixteen million, thirteen thousand, five hundred four".