3259198595664 has 240 divisors, whose sum is σ = 10468884127104. Its totient is φ = 944693967360.

The previous prime is 3259198595657. The next prime is 3259198595669. The reversal of 3259198595664 is 4665958919523.

3259198595664 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 1 + 9 + 8 + 59 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3259198595592 and 3259198595601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3259198595669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4038604 + ... + 4777940.

Almost surely, 2^{3259198595664} 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 3259198595664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234442063552).

3259198595664 is an abundant number, since it is smaller than the sum of its proper divisors (7209685531440).

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

3259198595664 is a wasteful number, since it uses less digits than its factorization.

3259198595664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739407 (or 739376 counting only the distinct ones).

The product of its digits is 629856000, while the sum is 72.

The spelling of 3259198595664 in words is "three trillion, two hundred fifty-nine billion, one hundred ninety-eight million, five hundred ninety-five thousand, six hundred sixty-four".