6811540560 has 640 divisors, whose sum is σ = 26869708800. Its totient is φ = 1571512320.

The previous prime is 6811540531. The next prime is 6811540577. The reversal of 6811540560 is 650451186.

6811540560 is a `hidden beast` number, since 6 + 81 + 15 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×6811540560² = 92794169601050227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60279064 + ... + 60279176.

It is an arithmetic number, because the mean of its divisors is an integer number (41983920).

Almost surely, 2^6811540560 is an apocalyptic number.

6811540560 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 6811540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400).

6811540560 is an abundant number, since it is smaller than the sum of its proper divisors (20058168240).

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

6811540560 is a wasteful number, since it uses less digits than its factorization.

6811540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6811540560 is about 82532.0577715108. The cubic root of 6811540560 is about 1895.6076339175.

It can be divided in two parts, 6811540 and 560, that added together give a square (6812100 = 2610²).

The spelling of 6811540560 in words is "six billion, eight hundred eleven million, five hundred forty thousand, five hundred sixty".