6646848400656 has 60 divisors (see below), whose sum is σ = 18661757237760. Its totient is φ = 2208491951040.

The previous prime is 6646848400639. The next prime is 6646848400657. The reversal of 6646848400656 is 6560048486466.

6646848400656 is a `hidden beast` number, since 66 + 46 + 8 + 484 + 0 + 0 + 6 + 56 = 666.

It is a super-2 number, since 2×6646848400656² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6646848400593 and 6646848400602.

It is not an unprimeable number, because it can be changed into a prime (6646848400657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74165296 + ... + 74254863.

It is an arithmetic number, because the mean of its divisors is an integer number (311029287296).

Almost surely, 2^{6646848400656} is an apocalyptic number.

It is an amenable number.

6646848400656 is an abundant number, since it is smaller than the sum of its proper divisors (12014908837104).

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

6646848400656 is a wasteful number, since it uses less digits than its factorization.

6646848400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148420484 (or 148420475 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 6646848400656 in words is "six trillion, six hundred forty-six billion, eight hundred forty-eight million, four hundred thousand, six hundred fifty-six".