6446611080 has 384 divisors, whose sum is σ = 27146246400. Its totient is φ = 1288452096.

The previous prime is 6446611037. The next prime is 6446611081. The reversal of 6446611080 is 801166446.

6446611080 is a `hidden beast` number, since 6 + 4 + 466 + 110 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6446611081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617262 + ... + 627618.

It is an arithmetic number, because the mean of its divisors is an integer number (70693350).

Almost surely, 2^6446611080 is an apocalyptic number.

6446611080 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 6446611080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573123200).

6446611080 is an abundant number, since it is smaller than the sum of its proper divisors (20699635320).

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

6446611080 is a wasteful number, since it uses less digits than its factorization.

6446611080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6446611080 is about 80290.7907546065. The cubic root of 6446611080 is about 1861.1319159504.

The spelling of 6446611080 in words is "six billion, four hundred forty-six million, six hundred eleven thousand, eighty".