3305799742464 has 264 divisors, whose sum is σ = 9632401978368. Its totient is φ = 1091914629120.

The previous prime is 3305799742429. The next prime is 3305799742471. The reversal of 3305799742464 is 4642479975033.

It is a happy number.

3305799742464 is a `hidden beast` number, since 3 + 30 + 5 + 79 + 9 + 74 + 2 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529753544 + ... + 1529755704.

Almost surely, 2^{3305799742464} 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 3305799742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816200989184).

3305799742464 is an abundant number, since it is smaller than the sum of its proper divisors (6326602235904).

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

3305799742464 is a wasteful number, since it uses less digits than its factorization.

3305799742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3305799742464 in words is "three trillion, three hundred five billion, seven hundred ninety-nine million, seven hundred forty-two thousand, four hundred sixty-four".