3055664642688 has 768 divisors, whose sum is σ = 10743992928000. Its totient is φ = 862892642304.

The previous prime is 3055664642687. The next prime is 3055664642707. The reversal of 3055664642688 is 8862464665503.

It is a happy number.

3055664642688 is a `hidden beast` number, since 3 + 0 + 5 + 566 + 4 + 6 + 4 + 2 + 68 + 8 = 666.

3055664642688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3055664642688³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3055664642687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1220799645 + ... + 1220802147.

It is an arithmetic number, because the mean of its divisors is an integer number (13989574125).

Almost surely, 2^{3055664642688} 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 3055664642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371996464000).

3055664642688 is an abundant number, since it is smaller than the sum of its proper divisors (7688328285312).

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

3055664642688 is an frugal number, since it uses more digits than its factorization.

3055664642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 3055664642688 in words is "three trillion, fifty-five billion, six hundred sixty-four million, six hundred forty-two thousand, six hundred eighty-eight".