6573862680 has 256 divisors, whose sum is σ = 25436851200. Its totient is φ = 1318840320.

The previous prime is 6573862667. The next prime is 6573862721. The reversal of 6573862680 is 862683756.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255694 + ... + 280226.

It is an arithmetic number, because the mean of its divisors is an integer number (99362700).

Almost surely, 2^6573862680 is an apocalyptic number.

6573862680 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 6573862680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12718425600).

6573862680 is an abundant number, since it is smaller than the sum of its proper divisors (18862988520).

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

6573862680 is a wasteful number, since it uses less digits than its factorization.

6573862680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24594 (or 24590 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 6573862680 is about 81079.3603822822. The cubic root of 6573862680 is about 1873.2980281787.

It can be divided in two parts, 657386 and 2680, that added together give a palindrome (660066).

The spelling of 6573862680 in words is "six billion, five hundred seventy-three million, eight hundred sixty-two thousand, six hundred eighty".