6567128040 has 256 divisors, whose sum is σ = 22341795840. Its totient is φ = 1531449600.

The previous prime is 6567128021. The next prime is 6567128041. The reversal of 6567128040 is 408217656.

It is a self number, because there is not a number n which added to its sum of digits gives 6567128040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6567128041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39324037 + ... + 39324203.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^6567128040 is an apocalyptic number.

6567128040 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 6567128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170897920).

6567128040 is an abundant number, since it is smaller than the sum of its proper divisors (15774667800).

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

6567128040 is a wasteful number, since it uses less digits than its factorization.

6567128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 6567128040 is about 81037.8185787352. The cubic root of 6567128040 is about 1872.6581051441.

The spelling of 6567128040 in words is "six billion, five hundred sixty-seven million, one hundred twenty-eight thousand, forty".