3307656046464 has 768 divisors, whose sum is σ = 12352029880320. Its totient is φ = 831333888000.

The previous prime is 3307656046459. The next prime is 3307656046483. The reversal of 3307656046464 is 4646406567033.

3307656046464 is a `hidden beast` number, since 3 + 3 + 0 + 7 + 65 + 60 + 464 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3307656046464.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 332723734 + ... + 332733674.

It is an arithmetic number, because the mean of its divisors is an integer number (16083372240).

Almost surely, 2^{3307656046464} 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 3307656046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176014940160).

3307656046464 is an abundant number, since it is smaller than the sum of its proper divisors (9044373833856).

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

3307656046464 is a wasteful number, since it uses less digits than its factorization.

3307656046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 3307656046464 in words is "three trillion, three hundred seven billion, six hundred fifty-six million, forty-six thousand, four hundred sixty-four".