67405140625 has 63 divisors (see below), whose sum is σ = 88379747631. Its totient is φ = 51405750000.

The previous prime is 67405140619. The next prime is 67405140667. The reversal of 67405140625 is 52604150476.

It is a happy number.

The square root of 67405140625 is 259625.

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

67405140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59053374081 + 8351766544 = 243009^2 + 91388^2 .

It is not a de Polignac number, because 67405140625 - 2⁹ = 67405140113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1006046842 + ... + 1006046908.

It is an arithmetic number, because the mean of its divisors is an integer number (1402853137).

Almost surely, 2^67405140625 is an apocalyptic number.

67405140625 is the 259625-th square number.

67405140625 is the 129813-rd centered octagonal number.

It is an amenable number.

67405140625 is a deficient number, since it is larger than the sum of its proper divisors (20974607006).

67405140625 is an frugal number, since it uses more digits than its factorization.

67405140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 67405140625 in words is "sixty-seven billion, four hundred five million, one hundred forty thousand, six hundred twenty-five".