6627256272 has 240 divisors, whose sum is σ = 23831599680. Its totient is φ = 1747775232.

The previous prime is 6627256267. The next prime is 6627256289. The reversal of 6627256272 is 2726527266.

6627256272 is a `hidden beast` number, since 66 + 27 + 2 + 562 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263143 + ... + 287225.

It is an arithmetic number, because the mean of its divisors is an integer number (99298332).

Almost surely, 2^6627256272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6627256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915799840).

6627256272 is an abundant number, since it is smaller than the sum of its proper divisors (17204343408).

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

6627256272 is a wasteful number, since it uses less digits than its factorization.

6627256272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24127 (or 24108 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6627256272 is about 81407.9619693307. The cubic root of 6627256272 is about 1878.3560655488.

The spelling of 6627256272 in words is "six billion, six hundred twenty-seven million, two hundred fifty-six thousand, two hundred seventy-two".