6004006656 has 72 divisors (see below), whose sum is σ = 16005010560. Its totient is φ = 1998130176.

The previous prime is 6004006651. The next prime is 6004006663. The reversal of 6004006656 is 6566004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004006651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500181 + ... + 512043.

Almost surely, 2^6004006656 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 6004006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002505280).

6004006656 is an abundant number, since it is smaller than the sum of its proper divisors (10001003904).

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

6004006656 is a wasteful number, since it uses less digits than its factorization.

6004006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6004006656 is about 77485.5254612111. The cubic root of 6004006656 is about 1817.5249793393.

The spelling of 6004006656 in words is "six billion, four million, six thousand, six hundred fifty-six".