67253973525904 has 135 divisors (see below), whose sum is σ = 148359604983681. Its totient is φ = 29511257973120.

The previous prime is 67253973525881. The next prime is 67253973525911. The reversal of 67253973525904 is 40952537935276.

The square root of 67253973525904 is 8200852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35266352348304 + 31987621177600 = 5938548^2 + 5655760^2 .

It is a super-2 number, since 2×67253973525904² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67253973525904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10464283939 + ... + 10464290365.

Almost surely, 2^{67253973525904} is an apocalyptic number.

67253973525904 is the 8200852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67253973525904

67253973525904 is an abundant number, since it is smaller than the sum of its proper divisors (81105631457777).

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

67253973525904 is an frugal number, since it uses more digits than its factorization.

67253973525904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 67.

The spelling of 67253973525904 in words is "sixty-seven trillion, two hundred fifty-three billion, nine hundred seventy-three million, five hundred twenty-five thousand, nine hundred four".