6875727600 has 480 divisors, whose sum is σ = 26933831680. Its totient is φ = 1464376320.

The previous prime is 6875727589. The next prime is 6875727643. The reversal of 6875727600 is 67275786.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6875727600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10692879 + ... + 10693521.

Almost surely, 2^6875727600 is an apocalyptic number.

6875727600 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 6875727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466915840).

6875727600 is an abundant number, since it is smaller than the sum of its proper divisors (20058104080).

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

6875727600 is a wasteful number, since it uses less digits than its factorization.

6875727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 6875727600 is about 82920.0072358897. The cubic root of 6875727600 is about 1901.5433074862.

The spelling of 6875727600 in words is "six billion, eight hundred seventy-five million, seven hundred twenty-seven thousand, six hundred".