6771130080 has 384 divisors, whose sum is σ = 26153487360. Its totient is φ = 1449000960.

The previous prime is 6771130049. The next prime is 6771130097. The reversal of 6771130080 is 800311776.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576576 + ... + 1580864.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 2^6771130080 is an apocalyptic number.

6771130080 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 6771130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076743680).

6771130080 is an abundant number, since it is smaller than the sum of its proper divisors (19382357280).

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

6771130080 is a wasteful number, since it uses less digits than its factorization.

6771130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 6771130080 is about 82286.8767179798. The cubic root of 6771130080 is about 1891.8515379189.

The spelling of 6771130080 in words is "six billion, seven hundred seventy-one million, one hundred thirty thousand, eighty".