6711130920 has 256 divisors, whose sum is σ = 22348327680. Its totient is φ = 1601740800.

The previous prime is 6711130849. The next prime is 6711130939. The reversal of 6711130920 is 290311176.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20275155 + ... + 20275485.

It is an arithmetic number, because the mean of its divisors is an integer number (87298155).

Almost surely, 2^6711130920 is an apocalyptic number.

6711130920 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 6711130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174163840).

6711130920 is an abundant number, since it is smaller than the sum of its proper divisors (15637196760).

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

6711130920 is a wasteful number, since it uses less digits than its factorization.

6711130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 6711130920 is about 81921.4924180462. The cubic root of 6711130920 is about 1886.2470360472.

The spelling of 6711130920 in words is "six billion, seven hundred eleven million, one hundred thirty thousand, nine hundred twenty".