6627042658080 has 288 divisors, whose sum is σ = 24495170512176. Its totient is φ = 1621841928192.

The previous prime is 6627042658079. The next prime is 6627042658111. The reversal of 6627042658080 is 808562407266.

6627042658080 is a `hidden beast` number, since 6 + 62 + 7 + 0 + 426 + 5 + 80 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2153462331024 + 4473580327056 = 1467468^2 + 2115084^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6627042658080³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2215414 + ... + 4261706.

Almost surely, 2^{6627042658080} is an apocalyptic number.

6627042658080 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 6627042658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247585256088).

6627042658080 is an abundant number, since it is smaller than the sum of its proper divisors (17868127854096).

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

6627042658080 is a wasteful number, since it uses less digits than its factorization.

6627042658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046500 (or 2046489 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6627042658080 in words is "six trillion, six hundred twenty-seven billion, forty-two million, six hundred fifty-eight thousand, eighty".