6577412280 has 128 divisors (see below), whose sum is σ = 20528640000. Its totient is φ = 1683874304.

The previous prime is 6577412279. The next prime is 6577412287. The reversal of 6577412280 is 822147756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577412287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617641 + ... + 628199.

It is an arithmetic number, because the mean of its divisors is an integer number (160380000).

Almost surely, 2^6577412280 is an apocalyptic number.

6577412280 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 6577412280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264320000).

6577412280 is an abundant number, since it is smaller than the sum of its proper divisors (13951227720).

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

6577412280 is a wasteful number, since it uses less digits than its factorization.

6577412280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10781 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 6577412280 is about 81101.2470927544. The cubic root of 6577412280 is about 1873.6351340051.

The spelling of 6577412280 in words is "six billion, five hundred seventy-seven million, four hundred twelve thousand, two hundred eighty".