6623766205056 has 1152 divisors, whose sum is σ = 26179004779200. Its totient is φ = 1580182732800.

The previous prime is 6623766205051. The next prime is 6623766205093. The reversal of 6623766205056 is 6505026673266.

6623766205056 is a `hidden beast` number, since 6 + 6 + 2 + 3 + 7 + 6 + 620 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 6623766204993 and 6623766205011.

It is not an unprimeable number, because it can be changed into a prime (6623766205051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1703203560 + ... + 1703207448.

Almost surely, 2^{6623766205056} is an apocalyptic number.

6623766205056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6623766205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089502389600).

6623766205056 is an abundant number, since it is smaller than the sum of its proper divisors (19555238574144).

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

6623766205056 is a wasteful number, since it uses less digits than its factorization.

6623766205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 6623766205056 in words is "six trillion, six hundred twenty-three billion, seven hundred sixty-six million, two hundred five thousand, fifty-six".