6635566080 has 1056 divisors, whose sum is σ = 28969799040. Its totient is φ = 1380188160.

The previous prime is 6635566073. The next prime is 6635566081. The reversal of 6635566080 is 806655366.

6635566080 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 566 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6635566081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125199334 + ... + 125199386.

Almost surely, 2^6635566080 is an apocalyptic number.

6635566080 is a gapful number since it is divisible by the number (60) 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 6635566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484899520).

6635566080 is an abundant number, since it is smaller than the sum of its proper divisors (22334232960).

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

6635566080 is a wasteful number, since it uses less digits than its factorization.

6635566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6635566080 is about 81458.9840349117. The cubic root of 6635566080 is about 1879.1408176039.

The spelling of 6635566080 in words is "six billion, six hundred thirty-five million, five hundred sixty-six thousand, eighty".