6875381760 has 288 divisors, whose sum is σ = 23781612960. Its totient is φ = 1686110208.

The previous prime is 6875381759. The next prime is 6875381767. The reversal of 6875381760 is 671835786.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6875381767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25558906 + ... + 25559174.

It is an arithmetic number, because the mean of its divisors is an integer number (82575045).

Almost surely, 2^6875381760 is an apocalyptic number.

6875381760 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 6875381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890806480).

6875381760 is an abundant number, since it is smaller than the sum of its proper divisors (16906231200).

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

6875381760 is an equidigital number, since it uses as much as digits as its factorization.

6875381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 6875381760 is about 82917.9218263458. The cubic root of 6875381760 is about 1901.5114252476.

The spelling of 6875381760 in words is "six billion, eight hundred seventy-five million, three hundred eighty-one thousand, seven hundred sixty".