6897136401 has 81 divisors (see below), whose sum is σ = 11100668553. Its totient is φ = 4125874320.

The previous prime is 6897136391. The next prime is 6897136409. The reversal of 6897136401 is 1046317986.

It is a happy number.

The square root of 6897136401 is 83049.

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

It is not a de Polignac number, because 6897136401 - 2⁵ = 6897136369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6897136409) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 146747560 + ... + 146747606.

Almost surely, 2^6897136401 is an apocalyptic number.

6897136401 is the 83049-th square number.

6897136401 is the 41525-th centered octagonal number.

It is an amenable number.

6897136401 is a deficient number, since it is larger than the sum of its proper divisors (4203532152).

6897136401 is a wasteful number, since it uses less digits than its factorization.

6897136401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 6897136401 is about 1903.5148604235.

The spelling of 6897136401 in words is "six billion, eight hundred ninety-seven million, one hundred thirty-six thousand, four hundred one".