6566901120 has 1024 divisors, whose sum is σ = 27636940800. Its totient is φ = 1459814400.

The previous prime is 6566901113. The next prime is 6566901157. The reversal of 6566901120 is 211096656.

6566901120 is a `hidden beast` number, since 6 + 566 + 90 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160168300 + ... + 160168340.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^6566901120 is an apocalyptic number.

6566901120 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 6566901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

6566901120 is an abundant number, since it is smaller than the sum of its proper divisors (21070039680).

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

6566901120 is a wasteful number, since it uses less digits than its factorization.

6566901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6566901120 is about 81036.4184795947. The cubic root of 6566901120 is about 1872.6365356712.

Adding to 6566901120 its reverse (211096656), we get a palindrome (6777997776).

The spelling of 6566901120 in words is "six billion, five hundred sixty-six million, nine hundred one thousand, one hundred twenty".