6579781920 has 288 divisors, whose sum is σ = 23096586240. Its totient is φ = 1704929280.

The previous prime is 6579781919. The next prime is 6579781931. The reversal of 6579781920 is 291879756.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6579781920² = 86587060229517772800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12926626 + ... + 12927134.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^6579781920 is an apocalyptic number.

6579781920 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 6579781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

6579781920 is an abundant number, since it is smaller than the sum of its proper divisors (16516804320).

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

6579781920 is a wasteful number, since it uses less digits than its factorization.

6579781920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 6579781920 is about 81115.8549236831. The cubic root of 6579781920 is about 1873.8601114226.

The spelling of 6579781920 in words is "six billion, five hundred seventy-nine million, seven hundred eighty-one thousand, nine hundred twenty".