6875057280 has 768 divisors, whose sum is σ = 28726790400. Its totient is φ = 1361608704.

The previous prime is 6875057251. The next prime is 6875057281. The reversal of 6875057280 is 827505786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6875057281) 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, 63073866 + ... + 63073974.

It is an arithmetic number, because the mean of its divisors is an integer number (37404675).

Almost surely, 2^6875057280 is an apocalyptic number.

6875057280 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 6875057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363395200).

6875057280 is an abundant number, since it is smaller than the sum of its proper divisors (21851733120).

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

6875057280 is a wasteful number, since it uses less digits than its factorization.

6875057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 6875057280 is about 82915.9651695619. The cubic root of 6875057280 is about 1901.4815111689.

The spelling of 6875057280 in words is "six billion, eight hundred seventy-five million, fifty-seven thousand, two hundred eighty".