67438965825 has 540 divisors, whose sum is σ = 164816974476. Its totient is φ = 27143424000.

The previous prime is 67438965773. The next prime is 67438965829. The reversal of 67438965825 is 52856983476.

It is a happy number.

67438965825 is a `hidden beast` number, since 6 + 7 + 43 + 8 + 9 + 6 + 582 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9278890929 + 58160074896 = 96327^2 + 241164^2 .

It is not a de Polignac number, because 67438965825 - 2¹¹ = 67438963777 is a prime.

It is a super-2 number, since 2×67438965825² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (67438965829) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 492255157 + ... + 492255293.

Almost surely, 2^67438965825 is an apocalyptic number.

It is an amenable number.

67438965825 is an abundant number, since it is smaller than the sum of its proper divisors (97378008651).

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

67438965825 is a wasteful number, since it uses less digits than its factorization.

67438965825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 67438965825 in words is "sixty-seven billion, four hundred thirty-eight million, nine hundred sixty-five thousand, eight hundred twenty-five".