3205607490468 has 144 divisors (see below), whose sum is σ = 8663459366016. Its totient is φ = 996934878720.

The previous prime is 3205607490467. The next prime is 3205607490469. The reversal of 3205607490468 is 8640947065023.

3205607490468 is a `hidden beast` number, since 3 + 2 + 0 + 560 + 74 + 9 + 0 + 4 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3205607490467) and next prime (3205607490469).

It is not an unprimeable number, because it can be changed into a prime (3205607490461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245878846 + ... + 245891882.

It is an arithmetic number, because the mean of its divisors is an integer number (60162912264).

Almost surely, 2^{3205607490468} 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 3205607490468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331729683008).

3205607490468 is an abundant number, since it is smaller than the sum of its proper divisors (5457851875548).

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

3205607490468 is a wasteful number, since it uses less digits than its factorization.

3205607490468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20349 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3205607490468 in words is "three trillion, two hundred five billion, six hundred seven million, four hundred ninety thousand, four hundred sixty-eight".