6566419752 has 64 divisors (see below), whose sum is σ = 16982784000. Its totient is φ = 2113552320.

The previous prime is 6566419729. The next prime is 6566419759. The reversal of 6566419752 is 2579146656.

It is a junction number, because it is equal to n+sod(n) for n = 6566419695 and 6566419704.

It is not an unprimeable number, because it can be changed into a prime (6566419759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337999 + ... + 356897.

It is an arithmetic number, because the mean of its divisors is an integer number (265356000).

Almost surely, 2^6566419752 is an apocalyptic number.

6566419752 is a gapful number since it is divisible by the number (62) 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 6566419752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

6566419752 is an abundant number, since it is smaller than the sum of its proper divisors (10416364248).

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

6566419752 is a wasteful number, since it uses less digits than its factorization.

6566419752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19406 (or 19402 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 6566419752 is about 81033.4483531338. The cubic root of 6566419752 is about 1872.5907784556.

The spelling of 6566419752 in words is "six billion, five hundred sixty-six million, four hundred nineteen thousand, seven hundred fifty-two".