6876005760 has 768 divisors, whose sum is σ = 28068768000. Its totient is φ = 1594515456.

The previous prime is 6876005753. The next prime is 6876005761. The reversal of 6876005760 is 675006786.

6876005760 is a `hidden beast` number, since 6 + 8 + 76 + 0 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876005761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38413351 + ... + 38413529.

It is an arithmetic number, because the mean of its divisors is an integer number (36547875).

Almost surely, 2^6876005760 is an apocalyptic number.

6876005760 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 6876005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

6876005760 is an abundant number, since it is smaller than the sum of its proper divisors (21192762240).

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

6876005760 is a wasteful number, since it uses less digits than its factorization.

6876005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6876005760 is about 82921.6844980853. The cubic root of 6876005760 is about 1901.5689496768.

The spelling of 6876005760 in words is "six billion, eight hundred seventy-six million, five thousand, seven hundred sixty".