6466385520 has 960 divisors, whose sum is σ = 28208194560. Its totient is φ = 1343692800.

The previous prime is 6466385509. The next prime is 6466385567. The reversal of 6466385520 is 255836646.

6466385520 is a `hidden beast` number, since 6 + 4 + 6 + 638 + 5 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106006290 + ... + 106006350.

It is an arithmetic number, because the mean of its divisors is an integer number (29383536).

Almost surely, 2^6466385520 is an apocalyptic number.

6466385520 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 6466385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104097280).

6466385520 is an abundant number, since it is smaller than the sum of its proper divisors (21741809040).

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

6466385520 is a wasteful number, since it uses less digits than its factorization.

6466385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6466385520 is about 80413.8391074571. The cubic root of 6466385520 is about 1863.0329290079.

The spelling of 6466385520 in words is "six billion, four hundred sixty-six million, three hundred eighty-five thousand, five hundred twenty".