67352439825 has 288 divisors, whose sum is σ = 145404979200. Its totient is φ = 29519616000.

The previous prime is 67352439809. The next prime is 67352439839. The reversal of 67352439825 is 52893425376.

67352439825 is a `hidden beast` number, since 6 + 7 + 3 + 524 + 3 + 98 + 25 = 666.

It is not a de Polignac number, because 67352439825 - 2⁴ = 67352439809 is a prime.

Its product of digits (10886400) is a multiple of the sum of its prime divisors (256).

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 287 ways as a sum of consecutive naturals, for example, 352630480 + ... + 352630670.

It is an arithmetic number, because the mean of its divisors is an integer number (504878400).

Almost surely, 2^67352439825 is an apocalyptic number.

It is an amenable number.

67352439825 is an abundant number, since it is smaller than the sum of its proper divisors (78052539375).

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

67352439825 is a wasteful number, since it uses less digits than its factorization.

67352439825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 256 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 67352439825 in words is "sixty-seven billion, three hundred fifty-two million, four hundred thirty-nine thousand, eight hundred twenty-five".