3197253653568 has 840 divisors, whose sum is σ = 10821915441216. Its totient is φ = 931087872000.

The previous prime is 3197253653567. The next prime is 3197253653597. The reversal of 3197253653568 is 8653563527913.

3197253653568 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 2 + 5 + 3 + 65 + 3 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (3197253653567) 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 119 ways as a sum of consecutive naturals, for example, 2035170223 + ... + 2035171793.

Almost surely, 2^{3197253653568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3197253653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410957720608).

3197253653568 is an abundant number, since it is smaller than the sum of its proper divisors (7624661787648).

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

3197253653568 is a wasteful number, since it uses less digits than its factorization.

3197253653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1713 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 3197253653568 in words is "three trillion, one hundred ninety-seven billion, two hundred fifty-three million, six hundred fifty-three thousand, five hundred sixty-eight".