6006646464 has 112 divisors (see below), whose sum is σ = 19560162048. Its totient is φ = 1584165888.

The previous prime is 6006646463. The next prime is 6006646487. The reversal of 6006646464 is 4646466006.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×6006646464³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6006646463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154422 + ... + 189365.

It is an arithmetic number, because the mean of its divisors is an integer number (174644304).

Almost surely, 2^6006646464 is an apocalyptic number.

6006646464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6006646464 is an abundant number, since it is smaller than the sum of its proper divisors (13553515584).

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

6006646464 is a wasteful number, since it uses less digits than its factorization.

6006646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343822 (or 343812 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 6006646464 is about 77502.5577900497. The cubic root of 6006646464 is about 1817.7913133755.

The spelling of 6006646464 in words is "six billion, six million, six hundred forty-six thousand, four hundred sixty-four".